Least Common Multiple of 735, 3689
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 735, 3689 i.e. 387345 smallest integer divisible by all numbers.
Least common multiple (LCM) of 735, 3689 is 387345.
LCM(735, 3689) = 387345
LCM of 735, 3689
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 735, 3689 by common division method
- Least Common Multiple of 735, 3689 with GCF Formula
Least Common Multiple (LCM) of 735,3689 is 387345
| 7 | 735, 3689 |
| 105, 527 |
∴ So the LCM of the given numbers is 7 x 105 x 527 = 387345
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 735,3689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,3689) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(735,3689) x common factors =7 x 1 = 7
LCM(735,3689) = ( 735 × 3689 ) / 7
LCM(735,3689) = 2711415 / 7
LCM(735,3689) = 387345
∴ Least Common Multiple of 735,3689 is 387345
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
Frequently Asked Questions on LCM of 735, 3689
1. What is the LCM of 735, 3689?
Answer: LCM of 735, 3689 is 387345.
2. What are the Factors of 387345?
Answer: Factors of 387345 are . There are integers that are factors of 387345
3. How to Find the LCM of 735, 3689 ?
Least Common Multiple of 735, 3689.
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(735, 3689) = 3 x 5 x 7 x 7 x 17 x 31 = 387345.