Least Common Multiple of 3137/734, 5271/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3137/734, 5271/138 quickly i.e. 16535127/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3137/734, 5271/138 is 16535127/2.

LCM(3137/734, 5271/138) = 16535127/2

LCM of 3137/734, 5271/138

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 3137/734,5271/138

Given numbers are 3137/734,5271/138

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 3137,5271

Least Common Multiple of Numerators i.e. LCM of 3137,5271 is 16535127.

GCF of Denominators means GCF of 734,138 as per the given fractions.

GCF of 734,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3137,5271

LCM of Fractions 3137/734,5271/138 is 16535127/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 16535127

Least Common Multiple of 3137,5271 with GCF Formula

Least Common Multiple of 3137,5271 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 3137,5271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3137,5271) = 1

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

GCF(3137,5271) x common factors =1 x 1 = 1

LCM(3137,5271) = ( 3137 × 5271 ) / 1

LCM(3137,5271) = 16535127 / 1

LCM(3137,5271) = 16535127


Lets's calculate GCF of 734,138

2 734, 138
367, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16535127/2

Therefore the LCM of Fractions 3137/734,5271/138 is 16535127/2

Greatest Common Factor of 734,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,138 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 734,138 . The biggest common factor number is the GCF number.
So the greatest common factor 734,138 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 3137/734, 5271/138

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 3137/734, 5271/138?

Answer: LCM of Numerators as per given numbers 3137/734, 5271/138 is

LCM of Numerators i.e. for 3137,5271 is 16535127

GCF of denominators i.e. for 734,138 is 2.

Thus, LCM of Fractions is 16535127/2.Finally, LCM of Fractions for 3137/734, 5271/138 is 16535127/2.