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 546, 790, 228, 376, 651 i.e. 23881570440 smallest integer divisible by all numbers.
Least common multiple (LCM) of 546, 790, 228, 376, 651 is 23881570440.
LCM(546, 790, 228, 376, 651) = 23881570440
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 546, 790, 228, 376, 651 |
2 | 273, 395, 114, 188, 651 |
3 | 273, 395, 57, 94, 651 |
7 | 91, 395, 19, 94, 217 |
13, 395, 19, 94, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 395 x 19 x 94 x 31 = 23881570440
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 546,790,228,376,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,790,228,376,651) = 1
common factors(in case of two or more numbers have common factors) = 1008
GCF(546,790,228,376,651) x common factors =1 x 1008 = 1008
LCM(546,790,228,376,651) = ( 546 × 790 × 228 × 376 × 651 ) / 1008
LCM(546,790,228,376,651) = 24072623003520 / 1008
LCM(546,790,228,376,651) = 23881570440
∴ Least Common Multiple of 546,790,228,376,651 is 23881570440
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 790, 228, 376, 651?
Answer: LCM of 546, 790, 228, 376, 651 is 23881570440.
2. What are the Factors of 23881570440?
Answer: Factors of 23881570440 are . There are integers that are factors of 23881570440
3. How to Find the LCM of 546, 790, 228, 376, 651 ?
Least Common Multiple of 546, 790, 228, 376, 651.
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(546, 790, 228, 376, 651) = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 19 x 31 x 47 x 79 = 23881570440.