Least Common Multiple of 90, 51, 238
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, 51, 238 i.e. 10710 smallest integer divisible by all numbers.
Least common multiple (LCM) of 90, 51, 238 is 10710.
LCM(90, 51, 238) = 10710
LCM of 90, 51, 238
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 90, 51, 238 by common division method
- Least Common Multiple of 90, 51, 238 with GCF Formula
Least Common Multiple (LCM) of 90,51,238 is 10710
| 2 | 90, 51, 238 |
| 3 | 45, 51, 119 |
| 17 | 15, 17, 119 |
| 15, 1, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 15 x 1 x 7 = 10710
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 90,51,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,51,238) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(90,51,238) x common factors =1 x 102 = 102
LCM(90,51,238) = ( 90 × 51 × 238 ) / 102
LCM(90,51,238) = 1092420 / 102
LCM(90,51,238) = 10710
∴ Least Common Multiple of 90,51,238 is 10710
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 90, 51, 238
1. What is the LCM of 90, 51, 238?
Answer: LCM of 90, 51, 238 is 10710.
2. What are the Factors of 10710?
Answer: Factors of 10710 are . There are integers that are factors of 10710
3. How to Find the LCM of 90, 51, 238 ?
Least Common Multiple of 90, 51, 238.
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, 51, 238) = 2 x 3 x 3 x 5 x 7 x 17 = 10710.