Least Common Multiple of 90, 90, 723
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, 90, 723 i.e. 21690 smallest integer divisible by all numbers.
Least common multiple (LCM) of 90, 90, 723 is 21690.
LCM(90, 90, 723) = 21690
LCM of 90, 90, 723
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 90, 90, 723 by common division method
- Least Common Multiple of 90, 90, 723 with GCF Formula
Least Common Multiple (LCM) of 90,90,723 is 21690
| 2 | 90, 90, 723 |
| 3 | 45, 45, 723 |
| 3 | 15, 15, 241 |
| 5 | 5, 5, 241 |
| 1, 1, 241 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 241 = 21690
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 90,90,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,90,723) = 3
common factors(in case of two or more numbers have common factors) = 90
GCF(90,90,723) x common factors =3 x 90 = 270
LCM(90,90,723) = ( 90 × 90 × 723 ) / 270
LCM(90,90,723) = 5856300 / 270
LCM(90,90,723) = 21690
∴ Least Common Multiple of 90,90,723 is 21690
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 90, 90, 723
1. What is the LCM of 90, 90, 723?
Answer: LCM of 90, 90, 723 is 21690.
2. What are the Factors of 21690?
Answer: Factors of 21690 are . There are integers that are factors of 21690
3. How to Find the LCM of 90, 90, 723 ?
Least Common Multiple of 90, 90, 723.
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, 90, 723) = 2 x 3 x 3 x 5 x 241 = 21690.