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 346, 743, 114, 988, 729 i.e. 92580471828 smallest integer divisible by all numbers.
Least common multiple (LCM) of 346, 743, 114, 988, 729 is 92580471828.
LCM(346, 743, 114, 988, 729) = 92580471828
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 346, 743, 114, 988, 729 |
3 | 173, 743, 57, 494, 729 |
19 | 173, 743, 19, 494, 243 |
173, 743, 1, 26, 243 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 173 x 743 x 1 x 26 x 243 = 92580471828
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 346,743,114,988,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,743,114,988,729) = 1
common factors(in case of two or more numbers have common factors) = 228
GCF(346,743,114,988,729) x common factors =1 x 228 = 228
LCM(346,743,114,988,729) = ( 346 × 743 × 114 × 988 × 729 ) / 228
LCM(346,743,114,988,729) = 21108347576784 / 228
LCM(346,743,114,988,729) = 92580471828
∴ Least Common Multiple of 346,743,114,988,729 is 92580471828
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 743, 114, 988, 729?
Answer: LCM of 346, 743, 114, 988, 729 is 92580471828.
2. What are the Factors of 92580471828?
Answer: Factors of 92580471828 are . There are integers that are factors of 92580471828
3. How to Find the LCM of 346, 743, 114, 988, 729 ?
Least Common Multiple of 346, 743, 114, 988, 729.
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(346, 743, 114, 988, 729) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 13 x 19 x 173 x 743 = 92580471828.