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 1428, 8160 i.e. 57120 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1428, 8160 is 57120.
LCM(1428, 8160) = 57120
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 1428, 8160 |
2 | 714, 4080 |
3 | 357, 2040 |
17 | 119, 680 |
7, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 7 x 40 = 57120
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 1428,8160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1428,8160) = 204
common factors(in case of two or more numbers have common factors) = 1
GCF(1428,8160) x common factors =204 x 1 = 204
LCM(1428,8160) = ( 1428 × 8160 ) / 204
LCM(1428,8160) = 11652480 / 204
LCM(1428,8160) = 57120
∴ Least Common Multiple of 1428,8160 is 57120
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1428, 8160?
Answer: LCM of 1428, 8160 is 57120.
2. What are the Factors of 57120?
Answer: Factors of 57120 are . There are integers that are factors of 57120
3. How to Find the LCM of 1428, 8160 ?
Least Common Multiple of 1428, 8160.
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(1428, 8160) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 = 57120.