Least Common Multiple of 21, 42, 178
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 21, 42, 178 i.e. 3738 smallest integer divisible by all numbers.
Least common multiple (LCM) of 21, 42, 178 is 3738.
LCM(21, 42, 178) = 3738
LCM of 21, 42, 178
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 21, 42, 178 by common division method
- Least Common Multiple of 21, 42, 178 with GCF Formula
Least Common Multiple (LCM) of 21,42,178 is 3738
| 2 | 21, 42, 178 |
| 3 | 21, 21, 89 |
| 7 | 7, 7, 89 |
| 1, 1, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 1 x 89 = 3738
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 21,42,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,42,178) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(21,42,178) x common factors =1 x 42 = 42
LCM(21,42,178) = ( 21 × 42 × 178 ) / 42
LCM(21,42,178) = 156996 / 42
LCM(21,42,178) = 3738
∴ Least Common Multiple of 21,42,178 is 3738
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Frequently Asked Questions on LCM of 21, 42, 178
1. What is the LCM of 21, 42, 178?
Answer: LCM of 21, 42, 178 is 3738.
2. What are the Factors of 3738?
Answer: Factors of 3738 are . There are integers that are factors of 3738
3. How to Find the LCM of 21, 42, 178 ?
Least Common Multiple of 21, 42, 178.
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(21, 42, 178) = 2 x 3 x 7 x 89 = 3738.