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 412, 840, 165, 951, 735 i.e. 2111866680 smallest integer divisible by all numbers.
Least common multiple (LCM) of 412, 840, 165, 951, 735 is 2111866680.
LCM(412, 840, 165, 951, 735) = 2111866680
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 412, 840, 165, 951, 735 |
2 | 206, 420, 165, 951, 735 |
3 | 103, 210, 165, 951, 735 |
5 | 103, 70, 55, 317, 245 |
7 | 103, 14, 11, 317, 49 |
103, 2, 11, 317, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 103 x 2 x 11 x 317 x 7 = 2111866680
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 412,840,165,951,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,840,165,951,735) = 1
common factors(in case of two or more numbers have common factors) = 18900
GCF(412,840,165,951,735) x common factors =1 x 18900 = 18900
LCM(412,840,165,951,735) = ( 412 × 840 × 165 × 951 × 735 ) / 18900
LCM(412,840,165,951,735) = 39914280252000 / 18900
LCM(412,840,165,951,735) = 2111866680
∴ Least Common Multiple of 412,840,165,951,735 is 2111866680
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 412, 840, 165, 951, 735?
Answer: LCM of 412, 840, 165, 951, 735 is 2111866680.
2. What are the Factors of 2111866680?
Answer: Factors of 2111866680 are . There are integers that are factors of 2111866680
3. How to Find the LCM of 412, 840, 165, 951, 735 ?
Least Common Multiple of 412, 840, 165, 951, 735.
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(412, 840, 165, 951, 735) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 103 x 317 = 2111866680.