Least Common Multiple of 92, 20, 345
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 92, 20, 345 i.e. 1380 smallest integer divisible by all numbers.
Least common multiple (LCM) of 92, 20, 345 is 1380.
LCM(92, 20, 345) = 1380
LCM of 92, 20, 345
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 92, 20, 345 by common division method
- Least Common Multiple of 92, 20, 345 with GCF Formula
Least Common Multiple (LCM) of 92,20,345 is 1380
| 2 | 92, 20, 345 |
| 2 | 46, 10, 345 |
| 5 | 23, 5, 345 |
| 23 | 23, 1, 69 |
| 1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 1 x 1 x 3 = 1380
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 92,20,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,20,345) = 1
common factors(in case of two or more numbers have common factors) = 460
GCF(92,20,345) x common factors =1 x 460 = 460
LCM(92,20,345) = ( 92 × 20 × 345 ) / 460
LCM(92,20,345) = 634800 / 460
LCM(92,20,345) = 1380
∴ Least Common Multiple of 92,20,345 is 1380
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 92, 20, 345
1. What is the LCM of 92, 20, 345?
Answer: LCM of 92, 20, 345 is 1380.
2. What are the Factors of 1380?
Answer: Factors of 1380 are . There are integers that are factors of 1380
3. How to Find the LCM of 92, 20, 345 ?
Least Common Multiple of 92, 20, 345.
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(92, 20, 345) = 2 x 2 x 3 x 5 x 23 = 1380.