Least Common Multiple of 90, 9126
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 90, 9126 i.e. 45630 smallest integer divisible by all numbers.
Least common multiple (LCM) of 90, 9126 is 45630.
LCM(90, 9126) = 45630
LCM of 90, 9126
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 90, 9126 by common division method
- Least Common Multiple of 90, 9126 with GCF Formula
Least Common Multiple (LCM) of 90,9126 is 45630
| 2 | 90, 9126 |
| 3 | 45, 4563 |
| 3 | 15, 1521 |
| 5, 507 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 507 = 45630
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 90,9126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,9126) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(90,9126) x common factors =18 x 1 = 18
LCM(90,9126) = ( 90 × 9126 ) / 18
LCM(90,9126) = 821340 / 18
LCM(90,9126) = 45630
∴ Least Common Multiple of 90,9126 is 45630
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Frequently Asked Questions on LCM of 90, 9126
1. What is the LCM of 90, 9126?
Answer: LCM of 90, 9126 is 45630.
2. What are the Factors of 45630?
Answer: Factors of 45630 are . There are integers that are factors of 45630
3. How to Find the LCM of 90, 9126 ?
Least Common Multiple of 90, 9126.
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(90, 9126) = 2 x 3 x 3 x 3 x 5 x 13 x 13 = 45630.