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 567, 510, 856, 368, 580 i.e. 55034063280 smallest integer divisible by all numbers.
Least common multiple (LCM) of 567, 510, 856, 368, 580 is 55034063280.
LCM(567, 510, 856, 368, 580) = 55034063280
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 567, 510, 856, 368, 580 |
2 | 567, 255, 428, 184, 290 |
2 | 567, 255, 214, 92, 145 |
3 | 567, 255, 107, 46, 145 |
5 | 189, 85, 107, 46, 145 |
189, 17, 107, 46, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 189 x 17 x 107 x 46 x 29 = 55034063280
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 567,510,856,368,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,510,856,368,580) = 1
common factors(in case of two or more numbers have common factors) = 960
GCF(567,510,856,368,580) x common factors =1 x 960 = 960
LCM(567,510,856,368,580) = ( 567 × 510 × 856 × 368 × 580 ) / 960
LCM(567,510,856,368,580) = 52832700748800 / 960
LCM(567,510,856,368,580) = 55034063280
∴ Least Common Multiple of 567,510,856,368,580 is 55034063280
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 510, 856, 368, 580?
Answer: LCM of 567, 510, 856, 368, 580 is 55034063280.
2. What are the Factors of 55034063280?
Answer: Factors of 55034063280 are . There are integers that are factors of 55034063280
3. How to Find the LCM of 567, 510, 856, 368, 580 ?
Least Common Multiple of 567, 510, 856, 368, 580.
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(567, 510, 856, 368, 580) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 17 x 23 x 29 x 107 = 55034063280.