Least Common Multiple of 31, 18, 105
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, 18, 105 i.e. 19530 smallest integer divisible by all numbers.
Least common multiple (LCM) of 31, 18, 105 is 19530.
LCM(31, 18, 105) = 19530
LCM of 31, 18, 105
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 31, 18, 105 by common division method
- Least Common Multiple of 31, 18, 105 with GCF Formula
Least Common Multiple (LCM) of 31,18,105 is 19530
| 3 | 31, 18, 105 |
| 31, 6, 35 |
∴ So the LCM of the given numbers is 3 x 31 x 6 x 35 = 19530
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 31,18,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,18,105) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(31,18,105) x common factors =1 x 3 = 3
LCM(31,18,105) = ( 31 × 18 × 105 ) / 3
LCM(31,18,105) = 58590 / 3
LCM(31,18,105) = 19530
∴ Least Common Multiple of 31,18,105 is 19530
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 31, 18, 105
1. What is the LCM of 31, 18, 105?
Answer: LCM of 31, 18, 105 is 19530.
2. What are the Factors of 19530?
Answer: Factors of 19530 are . There are integers that are factors of 19530
3. How to Find the LCM of 31, 18, 105 ?
Least Common Multiple of 31, 18, 105.
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, 18, 105) = 2 x 3 x 3 x 5 x 7 x 31 = 19530.