what is the least common multiple of 5 and 7
LCM of 5 and 7LCM of 5 and 7 is the smallest of all common multiples of 5 and 7. The first multiples of 5 and 7 are (5, 10, 15, 20, 25, 30, 35,.. .) and (7, 14, 21, 28, 35,…) respectively. There are 3 commonly used methods to find the LCMs of 5 and 7 – by division, by prime factors, and by enumerating multiples. 1. LCM of 5 and 7 2. List of methods 3. Solved examples 4. FAQAnswer: The LCM of 5 and 7 is 35. Read: what is the most common multiple of 5 and 7 Explanation: Read more: Rhysia | Top Q&A The LCM of two non-zero integers 0, x (5) and y (7), is the smallest positive integer m (35) that is divisible by both x (5) and y (7) without any real difference. any residual. different methods to find the LCM of 5 and 7.
- According to the division method
- By multiples of the list
- According to the prime factorization method
LCM of 5 and 7 by Division Method
To calculate the LCM of 5 and 7 using the division method, we divide the numbers (5, 7) by their prime factors (preferably regular). The product of these divisors for the LCM is 5 and 7.
- Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 5 and 7. Write this prime (5) to the left of the given numbers (5 and 7), separated by a ladder arrangement. .
- Step 2: If one of the given numbers (5, 7) is a multiple of 5 then divide it by 5 and write the quotient below it. Bring down any number that is not divisible by primes.
- Step 3: Continue the steps until there are only 1s left in the last row.
The LCM of 5 and 7 is the product of all the primes to the left, i.e. LCM (5, 7) by division = 5 × 7 = 35.
LCM of 5 and 7 in List Multiples
Read more: What happened to david dobrik To calculate LCM of 5 and 7 by enumerating common multiples we can follow below steps:
- Step 1: List some multiples of 5 (5, 10, 15, 20, 25, 30, 35,…) and 7 (7, 14, 21, 28, 35,…)
- Step 2: The common multiples of the multiples of 5 and 7 are 35, 70 ,. . .
- Step 3: The least common multiple of 5 and 7 is 35.
∴ Least common multiple of 5 and 7 = 35.
LCM of 5 and 7 in prime factors
The prime factors of 5 and 7 are (5) = 51 and (7) = 71, respectively. The LCMs of 5 and 7 can be obtained by multiplying prime factors raised to their highest powers. , ie 51 × 71 = 35. Therefore, the LCM of 5 and 7 in prime factors is 35.☛ Also check:Read more: What zodiac sign is September 7?
- LCM of 9 and 24 – 72
- LCM of 105 and 195 – 1365
- LCM of 10 and 35 – 70
- LCM of 10, 25, 35 and 40 – 1400
- LCM of 63, 70 and 77 – 6930
- LCM of 5, 6 and 7 – 210
- LCM of 14 and 35 – 70
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