Least Common Multiple of 31, 45, 279
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 31, 45, 279 i.e. 1395 smallest integer divisible by all numbers.
Least common multiple (LCM) of 31, 45, 279 is 1395.
LCM(31, 45, 279) = 1395
LCM of 31, 45, 279
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 31, 45, 279 by common division method
- Least Common Multiple of 31, 45, 279 with GCF Formula
Least Common Multiple (LCM) of 31,45,279 is 1395
| 3 | 31, 45, 279 |
| 3 | 31, 15, 93 |
| 31 | 31, 5, 31 |
| 1, 5, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 31 x 1 x 5 x 1 = 1395
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 31,45,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,45,279) = 1
common factors(in case of two or more numbers have common factors) = 279
GCF(31,45,279) x common factors =1 x 279 = 279
LCM(31,45,279) = ( 31 × 45 × 279 ) / 279
LCM(31,45,279) = 389205 / 279
LCM(31,45,279) = 1395
∴ Least Common Multiple of 31,45,279 is 1395
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 31, 45, 279
1. What is the LCM of 31, 45, 279?
Answer: LCM of 31, 45, 279 is 1395.
2. What are the Factors of 1395?
Answer: Factors of 1395 are . There are integers that are factors of 1395
3. How to Find the LCM of 31, 45, 279 ?
Least Common Multiple of 31, 45, 279.
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(31, 45, 279) = 3 x 3 x 5 x 31 = 1395.
