Least Common Multiple of 618/42, 989/44, 566/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/42, 989/44, 566/274 quickly i.e. 86485083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/42, 989/44, 566/274 is 86485083.

LCM(618/42, 989/44, 566/274) = 86485083

LCM of 618/42, 989/44, 566/274

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 618/42,989/44,566/274

Given numbers are 618/42,989/44,566/274

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 618,989,566

Least Common Multiple of Numerators i.e. LCM of 618,989,566 is 172970166.

GCF of Denominators means GCF of 42,44,274 as per the given fractions.

GCF of 42,44,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,989,566

LCM of Fractions 618/42,989/44,566/274 is 86485083

2 618, 989, 566
309, 989, 283

∴ So the LCM of the given numbers is 2 x 309 x 989 x 283 = 172970166

Least Common Multiple of 618,989,566 with GCF Formula

Least Common Multiple of 618,989,566 with GCF Formula

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 618,989,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,989,566) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(618,989,566) x common factors =1 x 2 = 2

LCM(618,989,566) = ( 618 × 989 × 566 ) / 2

LCM(618,989,566) = 345940332 / 2

LCM(618,989,566) = 172970166


Lets's calculate GCF of 42,44,274

2 42, 44, 274
21, 22, 137

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172970166/2

Therefore the LCM of Fractions 618/42,989/44,566/274 is 86485083

Greatest Common Factor of 42,44,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,44,274 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 42,44,274 . The biggest common factor number is the GCF number.
So the greatest common factor 42,44,274 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 618/42, 989/44, 566/274

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 618/42, 989/44, 566/274?

Answer: LCM of Numerators as per given numbers 618/42, 989/44, 566/274 is

LCM of Numerators i.e. for 618,989,566 is 172970166

GCF of denominators i.e. for 42,44,274 is 2.

Thus, LCM of Fractions is 86485083.Finally, LCM of Fractions for 618/42, 989/44, 566/274 is 86485083.