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 10, 75, 10, 75, 638 i.e. 47850 smallest integer divisible by all numbers.
Least common multiple (LCM) of 10, 75, 10, 75, 638 is 47850.
LCM(10, 75, 10, 75, 638) = 47850
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 10, 75, 10, 75, 638 |
3 | 5, 75, 5, 75, 319 |
5 | 5, 25, 5, 25, 319 |
5 | 1, 1, 5, 5, 319 |
1, 1, 1, 1, 319 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 1 x 1 x 1 x 319 = 47850
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 10,75,10,75,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,75,10,75,638) = 1
common factors(in case of two or more numbers have common factors) = 7500
GCF(10,75,10,75,638) x common factors =1 x 7500 = 7500
LCM(10,75,10,75,638) = ( 10 × 75 × 10 × 75 × 638 ) / 7500
LCM(10,75,10,75,638) = 358875000 / 7500
LCM(10,75,10,75,638) = 47850
∴ Least Common Multiple of 10,75,10,75,638 is 47850
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 10, 75, 10, 75, 638?
Answer: LCM of 10, 75, 10, 75, 638 is 47850.
2. What are the Factors of 47850?
Answer: Factors of 47850 are . There are integers that are factors of 47850
3. How to Find the LCM of 10, 75, 10, 75, 638 ?
Least Common Multiple of 10, 75, 10, 75, 638.
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(10, 75, 10, 75, 638) = 2 x 3 x 5 x 5 x 11 x 29 = 47850.