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 45, 20, 870 i.e. 5220 smallest integer divisible by all numbers.
Least common multiple (LCM) of 45, 20, 870 is 5220.
LCM(45, 20, 870) = 5220
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 45, 20, 870 |
3 | 45, 10, 435 |
5 | 15, 10, 145 |
3, 2, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 2 x 29 = 5220
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 45,20,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,20,870) = 5
common factors(in case of two or more numbers have common factors) = 30
GCF(45,20,870) x common factors =5 x 30 = 150
LCM(45,20,870) = ( 45 × 20 × 870 ) / 150
LCM(45,20,870) = 783000 / 150
LCM(45,20,870) = 5220
∴ Least Common Multiple of 45,20,870 is 5220
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 45, 20, 870?
Answer: LCM of 45, 20, 870 is 5220.
2. What are the Factors of 5220?
Answer: Factors of 5220 are . There are integers that are factors of 5220
3. How to Find the LCM of 45, 20, 870 ?
Least Common Multiple of 45, 20, 870.
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(45, 20, 870) = 2 x 2 x 3 x 3 x 5 x 29 = 5220.