Least Common Multiple of 54, 54, 417
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 54, 54, 417 i.e. 7506 smallest integer divisible by all numbers.
Least common multiple (LCM) of 54, 54, 417 is 7506.
LCM(54, 54, 417) = 7506
LCM of 54, 54, 417
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 54, 54, 417 by common division method
- Least Common Multiple of 54, 54, 417 with GCF Formula
Least Common Multiple (LCM) of 54,54,417 is 7506
| 2 | 54, 54, 417 |
| 3 | 27, 27, 417 |
| 3 | 9, 9, 139 |
| 3 | 3, 3, 139 |
| 1, 1, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 1 x 139 = 7506
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 54,54,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,54,417) = 3
common factors(in case of two or more numbers have common factors) = 54
GCF(54,54,417) x common factors =3 x 54 = 162
LCM(54,54,417) = ( 54 × 54 × 417 ) / 162
LCM(54,54,417) = 1215972 / 162
LCM(54,54,417) = 7506
∴ Least Common Multiple of 54,54,417 is 7506
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 54, 54, 417
1. What is the LCM of 54, 54, 417?
Answer: LCM of 54, 54, 417 is 7506.
2. What are the Factors of 7506?
Answer: Factors of 7506 are . There are integers that are factors of 7506
3. How to Find the LCM of 54, 54, 417 ?
Least Common Multiple of 54, 54, 417.
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(54, 54, 417) = 2 x 3 x 3 x 3 x 139 = 7506.