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, 54, 114 i.e. 2052 smallest integer divisible by all numbers.
Least common multiple (LCM) of 76, 54, 114 is 2052.
LCM(76, 54, 114) = 2052
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 76, 54, 114 |
3 | 38, 27, 57 |
19 | 38, 9, 19 |
2, 9, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 9 x 1 = 2052
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 76,54,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,54,114) = 2
common factors(in case of two or more numbers have common factors) = 114
GCF(76,54,114) x common factors =2 x 114 = 228
LCM(76,54,114) = ( 76 × 54 × 114 ) / 228
LCM(76,54,114) = 467856 / 228
LCM(76,54,114) = 2052
∴ Least Common Multiple of 76,54,114 is 2052
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 76, 54, 114?
Answer: LCM of 76, 54, 114 is 2052.
2. What are the Factors of 2052?
Answer: Factors of 2052 are . There are integers that are factors of 2052
3. How to Find the LCM of 76, 54, 114 ?
Least Common Multiple of 76, 54, 114.
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, 54, 114) = 2 x 2 x 3 x 3 x 3 x 19 = 2052.