Least Common Multiple of 40/134, 3749/5098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/134, 3749/5098 quickly i.e. 74980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/134, 3749/5098 is 74980.

LCM(40/134, 3749/5098) = 74980

LCM of 40/134, 3749/5098

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 40/134,3749/5098

Given numbers are 40/134,3749/5098

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 40,3749

Least Common Multiple of Numerators i.e. LCM of 40,3749 is 149960.

GCF of Denominators means GCF of 134,5098 as per the given fractions.

GCF of 134,5098 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,3749

LCM of Fractions 40/134,3749/5098 is 74980

Given numbers has no common factors except 1. So, there LCM is their product i.e 149960

Least Common Multiple of 40,3749 with GCF Formula

Least Common Multiple of 40,3749 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 40,3749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,3749) = 1

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

GCF(40,3749) x common factors =1 x 1 = 1

LCM(40,3749) = ( 40 × 3749 ) / 1

LCM(40,3749) = 149960 / 1

LCM(40,3749) = 149960


Lets's calculate GCF of 134,5098

2 134, 5098
67, 2549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149960/2

Therefore the LCM of Fractions 40/134,3749/5098 is 74980

Greatest Common Factor of 134,5098 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,5098 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 5098

List of positive integer factors of 5098 that divides 5098 without a remainder.

1,2,2549,5098

Greatest Common Factor

We found the factors 134,5098 . The biggest common factor number is the GCF number.
So the greatest common factor 134,5098 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 40/134, 3749/5098

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 40/134, 3749/5098?

Answer: LCM of Numerators as per given numbers 40/134, 3749/5098 is

LCM of Numerators i.e. for 40,3749 is 149960

GCF of denominators i.e. for 134,5098 is 2.

Thus, LCM of Fractions is 74980.Finally, LCM of Fractions for 40/134, 3749/5098 is 74980.