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 282, 431, 946, 964, 376 i.e. 55419748824 smallest integer divisible by all numbers.
Least common multiple (LCM) of 282, 431, 946, 964, 376 is 55419748824.
LCM(282, 431, 946, 964, 376) = 55419748824
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 282, 431, 946, 964, 376 |
2 | 141, 431, 473, 482, 188 |
47 | 141, 431, 473, 241, 94 |
3, 431, 473, 241, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 3 x 431 x 473 x 241 x 2 = 55419748824
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 282,431,946,964,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,431,946,964,376) = 1
common factors(in case of two or more numbers have common factors) = 752
GCF(282,431,946,964,376) x common factors =1 x 752 = 752
LCM(282,431,946,964,376) = ( 282 × 431 × 946 × 964 × 376 ) / 752
LCM(282,431,946,964,376) = 41675651115648 / 752
LCM(282,431,946,964,376) = 55419748824
∴ Least Common Multiple of 282,431,946,964,376 is 55419748824
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 431, 946, 964, 376?
Answer: LCM of 282, 431, 946, 964, 376 is 55419748824.
2. What are the Factors of 55419748824?
Answer: Factors of 55419748824 are . There are integers that are factors of 55419748824
3. How to Find the LCM of 282, 431, 946, 964, 376 ?
Least Common Multiple of 282, 431, 946, 964, 376.
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(282, 431, 946, 964, 376) = 2 x 2 x 2 x 3 x 11 x 43 x 47 x 241 x 431 = 55419748824.