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 756, 253, 440, 470, 161 i.e. 89895960 smallest integer divisible by all numbers.
Least common multiple (LCM) of 756, 253, 440, 470, 161 is 89895960.
LCM(756, 253, 440, 470, 161) = 89895960
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 756, 253, 440, 470, 161 |
2 | 378, 253, 220, 235, 161 |
5 | 189, 253, 110, 235, 161 |
7 | 189, 253, 22, 47, 161 |
11 | 27, 253, 22, 47, 23 |
23 | 27, 23, 2, 47, 23 |
27, 1, 2, 47, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 11 x 23 x 27 x 1 x 2 x 47 x 1 = 89895960
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 756,253,440,470,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,253,440,470,161) = 1
common factors(in case of two or more numbers have common factors) = 70840
GCF(756,253,440,470,161) x common factors =1 x 70840 = 70840
LCM(756,253,440,470,161) = ( 756 × 253 × 440 × 470 × 161 ) / 70840
LCM(756,253,440,470,161) = 6368229806400 / 70840
LCM(756,253,440,470,161) = 89895960
∴ Least Common Multiple of 756,253,440,470,161 is 89895960
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 756, 253, 440, 470, 161?
Answer: LCM of 756, 253, 440, 470, 161 is 89895960.
2. What are the Factors of 89895960?
Answer: Factors of 89895960 are . There are integers that are factors of 89895960
3. How to Find the LCM of 756, 253, 440, 470, 161 ?
Least Common Multiple of 756, 253, 440, 470, 161.
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(756, 253, 440, 470, 161) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 23 x 47 = 89895960.