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 574, 790, 340, 788, 280 i.e. 3037275080 smallest integer divisible by all numbers.
Least common multiple (LCM) of 574, 790, 340, 788, 280 is 3037275080.
LCM(574, 790, 340, 788, 280) = 3037275080
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 574, 790, 340, 788, 280 |
2 | 287, 395, 170, 394, 140 |
5 | 287, 395, 85, 197, 70 |
7 | 287, 79, 17, 197, 14 |
41, 79, 17, 197, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 41 x 79 x 17 x 197 x 2 = 3037275080
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 574,790,340,788,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,790,340,788,280) = 2
common factors(in case of two or more numbers have common factors) = 5600
GCF(574,790,340,788,280) x common factors =2 x 5600 = 11200
LCM(574,790,340,788,280) = ( 574 × 790 × 340 × 788 × 280 ) / 11200
LCM(574,790,340,788,280) = 34017480896000 / 11200
LCM(574,790,340,788,280) = 3037275080
∴ Least Common Multiple of 574,790,340,788,280 is 3037275080
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 574, 790, 340, 788, 280?
Answer: LCM of 574, 790, 340, 788, 280 is 3037275080.
2. What are the Factors of 3037275080?
Answer: Factors of 3037275080 are . There are integers that are factors of 3037275080
3. How to Find the LCM of 574, 790, 340, 788, 280 ?
Least Common Multiple of 574, 790, 340, 788, 280.
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(574, 790, 340, 788, 280) = 2 x 2 x 2 x 5 x 7 x 17 x 41 x 79 x 197 = 3037275080.