Least Common Multiple of 90, 36, 467
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, 36, 467 i.e. 84060 smallest integer divisible by all numbers.
Least common multiple (LCM) of 90, 36, 467 is 84060.
LCM(90, 36, 467) = 84060
LCM of 90, 36, 467
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 90, 36, 467 by common division method
- Least Common Multiple of 90, 36, 467 with GCF Formula
Least Common Multiple (LCM) of 90,36,467 is 84060
| 2 | 90, 36, 467 |
| 3 | 45, 18, 467 |
| 3 | 15, 6, 467 |
| 5, 2, 467 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 2 x 467 = 84060
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 90,36,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,36,467) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(90,36,467) x common factors =1 x 18 = 18
LCM(90,36,467) = ( 90 × 36 × 467 ) / 18
LCM(90,36,467) = 1513080 / 18
LCM(90,36,467) = 84060
∴ Least Common Multiple of 90,36,467 is 84060
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Frequently Asked Questions on LCM of 90, 36, 467
1. What is the LCM of 90, 36, 467?
Answer: LCM of 90, 36, 467 is 84060.
2. What are the Factors of 84060?
Answer: Factors of 84060 are . There are integers that are factors of 84060
3. How to Find the LCM of 90, 36, 467 ?
Least Common Multiple of 90, 36, 467.
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, 36, 467) = 2 x 2 x 3 x 3 x 5 x 467 = 84060.