Least Common Multiple of 342, 174, 38
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 342, 174, 38 i.e. 9918 smallest integer divisible by all numbers.
Least common multiple (LCM) of 342, 174, 38 is 9918.
LCM(342, 174, 38) = 9918
LCM of 342, 174, 38
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 342, 174, 38 by common division method
- Least Common Multiple of 342, 174, 38 with GCF Formula
Least Common Multiple (LCM) of 342,174,38 is 9918
| 2 | 342, 174, 38 |
| 3 | 171, 87, 19 |
| 19 | 57, 29, 19 |
| 3, 29, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 3 x 29 x 1 = 9918
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 342,174,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,174,38) = 2
common factors(in case of two or more numbers have common factors) = 114
GCF(342,174,38) x common factors =2 x 114 = 228
LCM(342,174,38) = ( 342 × 174 × 38 ) / 228
LCM(342,174,38) = 2261304 / 228
LCM(342,174,38) = 9918
∴ Least Common Multiple of 342,174,38 is 9918
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 342, 174, 38
1. What is the LCM of 342, 174, 38?
Answer: LCM of 342, 174, 38 is 9918.
2. What are the Factors of 9918?
Answer: Factors of 9918 are . There are integers that are factors of 9918
3. How to Find the LCM of 342, 174, 38 ?
Least Common Multiple of 342, 174, 38.
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(342, 174, 38) = 2 x 3 x 3 x 19 x 29 = 9918.