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 742, 180, 870, 858, 528 i.e. 1107746640 smallest integer divisible by all numbers.
Least common multiple (LCM) of 742, 180, 870, 858, 528 is 1107746640.
LCM(742, 180, 870, 858, 528) = 1107746640
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 742, 180, 870, 858, 528 |
2 | 371, 90, 435, 429, 264 |
3 | 371, 45, 435, 429, 132 |
5 | 371, 15, 145, 143, 44 |
11 | 371, 3, 29, 143, 44 |
371, 3, 29, 13, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 11 x 371 x 3 x 29 x 13 x 4 = 1107746640
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 742,180,870,858,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,180,870,858,528) = 2
common factors(in case of two or more numbers have common factors) = 23760
GCF(742,180,870,858,528) x common factors =2 x 23760 = 47520
LCM(742,180,870,858,528) = ( 742 × 180 × 870 × 858 × 528 ) / 47520
LCM(742,180,870,858,528) = 52640120332800 / 47520
LCM(742,180,870,858,528) = 1107746640
∴ Least Common Multiple of 742,180,870,858,528 is 1107746640
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 742, 180, 870, 858, 528?
Answer: LCM of 742, 180, 870, 858, 528 is 1107746640.
2. What are the Factors of 1107746640?
Answer: Factors of 1107746640 are . There are integers that are factors of 1107746640
3. How to Find the LCM of 742, 180, 870, 858, 528 ?
Least Common Multiple of 742, 180, 870, 858, 528.
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(742, 180, 870, 858, 528) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 13 x 29 x 53 = 1107746640.