Least Common Multiple of 61/149, 747/942, 949/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/149, 747/942, 949/274 quickly i.e. 43243083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/149, 747/942, 949/274 is 43243083.

LCM(61/149, 747/942, 949/274) = 43243083

LCM of 61/149, 747/942, 949/274

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 61/149,747/942,949/274

Given numbers are 61/149,747/942,949/274

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 61,747,949

Least Common Multiple of Numerators i.e. LCM of 61,747,949 is 43243083.

GCF of Denominators means GCF of 149,942,274 as per the given fractions.

GCF of 149,942,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,747,949

LCM of Fractions 61/149,747/942,949/274 is 43243083

Given numbers has no common factors except 1. So, there LCM is their product i.e 43243083

Least Common Multiple of 61,747,949 with GCF Formula

Least Common Multiple of 61,747,949 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 61,747,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,747,949) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(61,747,949) x common factors =1 x 1 = 1

LCM(61,747,949) = ( 61 × 747 × 949 ) / 1

LCM(61,747,949) = 43243083 / 1

LCM(61,747,949) = 43243083


Lets's calculate GCF of 149,942,274

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43243083/1

Therefore the LCM of Fractions 61/149,747/942,949/274 is 43243083

Greatest Common Factor of 149,942,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,942,274 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

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 149,942,274 . The biggest common factor number is the GCF number.
So the greatest common factor 149,942,274 is 1.


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 61/149, 747/942, 949/274

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 61/149, 747/942, 949/274?

Answer: LCM of Numerators as per given numbers 61/149, 747/942, 949/274 is

LCM of Numerators i.e. for 61,747,949 is 43243083

GCF of denominators i.e. for 149,942,274 is 1.

Thus, LCM of Fractions is 43243083.Finally, LCM of Fractions for 61/149, 747/942, 949/274 is 43243083.