Least Common Multiple of 76, 18, 978
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 76, 18, 978 i.e. 111492 smallest integer divisible by all numbers.
Least common multiple (LCM) of 76, 18, 978 is 111492.
LCM(76, 18, 978) = 111492
LCM of 76, 18, 978
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 76, 18, 978 by common division method
- Least Common Multiple of 76, 18, 978 with GCF Formula
Least Common Multiple (LCM) of 76,18,978 is 111492
| 2 | 76, 18, 978 |
| 3 | 38, 9, 489 |
| 38, 3, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 38 x 3 x 163 = 111492
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 76,18,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,18,978) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(76,18,978) x common factors =2 x 6 = 12
LCM(76,18,978) = ( 76 × 18 × 978 ) / 12
LCM(76,18,978) = 1337904 / 12
LCM(76,18,978) = 111492
∴ Least Common Multiple of 76,18,978 is 111492
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Frequently Asked Questions on LCM of 76, 18, 978
1. What is the LCM of 76, 18, 978?
Answer: LCM of 76, 18, 978 is 111492.
2. What are the Factors of 111492?
Answer: Factors of 111492 are . There are integers that are factors of 111492
3. How to Find the LCM of 76, 18, 978 ?
Least Common Multiple of 76, 18, 978.
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(76, 18, 978) = 2 x 2 x 3 x 3 x 19 x 163 = 111492.