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 688, 618, 430, 756, 369 i.e. 2745625680 smallest integer divisible by all numbers.
Least common multiple (LCM) of 688, 618, 430, 756, 369 is 2745625680.
LCM(688, 618, 430, 756, 369) = 2745625680
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 688, 618, 430, 756, 369 |
2 | 344, 309, 215, 378, 369 |
3 | 172, 309, 215, 189, 369 |
3 | 172, 103, 215, 63, 123 |
43 | 172, 103, 215, 21, 41 |
4, 103, 5, 21, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 43 x 4 x 103 x 5 x 21 x 41 = 2745625680
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 688,618,430,756,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,618,430,756,369) = 1
common factors(in case of two or more numbers have common factors) = 18576
GCF(688,618,430,756,369) x common factors =1 x 18576 = 18576
LCM(688,618,430,756,369) = ( 688 × 618 × 430 × 756 × 369 ) / 18576
LCM(688,618,430,756,369) = 51002742631680 / 18576
LCM(688,618,430,756,369) = 2745625680
∴ Least Common Multiple of 688,618,430,756,369 is 2745625680
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 618, 430, 756, 369?
Answer: LCM of 688, 618, 430, 756, 369 is 2745625680.
2. What are the Factors of 2745625680?
Answer: Factors of 2745625680 are . There are integers that are factors of 2745625680
3. How to Find the LCM of 688, 618, 430, 756, 369 ?
Least Common Multiple of 688, 618, 430, 756, 369.
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(688, 618, 430, 756, 369) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 41 x 43 x 103 = 2745625680.