Least Common Multiple of 45, 54, 870
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, 54, 870 i.e. 7830 smallest integer divisible by all numbers.
Least common multiple (LCM) of 45, 54, 870 is 7830.
LCM(45, 54, 870) = 7830
LCM of 45, 54, 870
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 45, 54, 870 by common division method
- Least Common Multiple of 45, 54, 870 with GCF Formula
Least Common Multiple (LCM) of 45,54,870 is 7830
| 2 | 45, 54, 870 |
| 3 | 45, 27, 435 |
| 3 | 15, 9, 145 |
| 5 | 5, 3, 145 |
| 1, 3, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 3 x 29 = 7830
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 45,54,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,54,870) = 3
common factors(in case of two or more numbers have common factors) = 90
GCF(45,54,870) x common factors =3 x 90 = 270
LCM(45,54,870) = ( 45 × 54 × 870 ) / 270
LCM(45,54,870) = 2114100 / 270
LCM(45,54,870) = 7830
∴ Least Common Multiple of 45,54,870 is 7830
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 45, 54, 870
1. What is the LCM of 45, 54, 870?
Answer: LCM of 45, 54, 870 is 7830.
2. What are the Factors of 7830?
Answer: Factors of 7830 are . There are integers that are factors of 7830
3. How to Find the LCM of 45, 54, 870 ?
Least Common Multiple of 45, 54, 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, 54, 870) = 2 x 3 x 3 x 3 x 5 x 29 = 7830.