Least Common Multiple of 368/140, 3112/7272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/140, 3112/7272 quickly i.e. 35788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/140, 3112/7272 is 35788.

LCM(368/140, 3112/7272) = 35788

LCM of 368/140, 3112/7272

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 368/140,3112/7272

Given numbers are 368/140,3112/7272

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 368,3112

Least Common Multiple of Numerators i.e. LCM of 368,3112 is 143152.

GCF of Denominators means GCF of 140,7272 as per the given fractions.

GCF of 140,7272 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,3112

LCM of Fractions 368/140,3112/7272 is 35788

2 368, 3112
2 184, 1556
2 92, 778
46, 389

∴ So the LCM of the given numbers is 2 x 2 x 2 x 46 x 389 = 143152

Least Common Multiple of 368,3112 with GCF Formula

Least Common Multiple of 368,3112 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 368,3112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,3112) = 8

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

GCF(368,3112) x common factors =8 x 1 = 8

LCM(368,3112) = ( 368 × 3112 ) / 8

LCM(368,3112) = 1145216 / 8

LCM(368,3112) = 143152


Lets's calculate GCF of 140,7272

2 140, 7272
2 70, 3636
35, 1818

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143152/4

Therefore the LCM of Fractions 368/140,3112/7272 is 35788

Greatest Common Factor of 140,7272 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,7272 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 7272

List of positive integer factors of 7272 that divides 7272 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272

Greatest Common Factor

We found the factors 140,7272 . The biggest common factor number is the GCF number.
So the greatest common factor 140,7272 is 4.


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 368/140, 3112/7272

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 368/140, 3112/7272?

Answer: LCM of Numerators as per given numbers 368/140, 3112/7272 is

LCM of Numerators i.e. for 368,3112 is 143152

GCF of denominators i.e. for 140,7272 is 4.

Thus, LCM of Fractions is 35788.Finally, LCM of Fractions for 368/140, 3112/7272 is 35788.