Least Common Multiple of 385, 3509
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 385, 3509 i.e. 122815 smallest integer divisible by all numbers.
Least common multiple (LCM) of 385, 3509 is 122815.
LCM(385, 3509) = 122815
LCM of 385, 3509
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 385, 3509 by common division method
- Least Common Multiple of 385, 3509 with GCF Formula
Least Common Multiple (LCM) of 385,3509 is 122815
| 11 | 385, 3509 |
| 35, 319 |
∴ So the LCM of the given numbers is 11 x 35 x 319 = 122815
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 385,3509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,3509) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(385,3509) x common factors =11 x 1 = 11
LCM(385,3509) = ( 385 × 3509 ) / 11
LCM(385,3509) = 1350965 / 11
LCM(385,3509) = 122815
∴ Least Common Multiple of 385,3509 is 122815
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 385, 3509
1. What is the LCM of 385, 3509?
Answer: LCM of 385, 3509 is 122815.
2. What are the Factors of 122815?
Answer: Factors of 122815 are . There are integers that are factors of 122815
3. How to Find the LCM of 385, 3509 ?
Least Common Multiple of 385, 3509.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(385, 3509) = 5 x 7 x 11 x 11 x 29 = 122815.