Least Common Multiple of 126/69, 276/65, 138/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/69, 276/65, 138/320 quickly i.e. 5796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/69, 276/65, 138/320 is 5796.

LCM(126/69, 276/65, 138/320) = 5796

LCM of 126/69, 276/65, 138/320

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 126/69,276/65,138/320

Given numbers are 126/69,276/65,138/320

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 126,276,138

Least Common Multiple of Numerators i.e. LCM of 126,276,138 is 5796.

GCF of Denominators means GCF of 69,65,320 as per the given fractions.

GCF of 69,65,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,276,138

LCM of Fractions 126/69,276/65,138/320 is 5796

2 126, 276, 138
3 63, 138, 69
23 21, 46, 23
21, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 21 x 2 x 1 = 5796

Least Common Multiple of 126,276,138 with GCF Formula

Least Common Multiple of 126,276,138 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 126,276,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,276,138) = 6

common factors(in case of two or more numbers have common factors) = 138

GCF(126,276,138) x common factors =6 x 138 = 828

LCM(126,276,138) = ( 126 × 276 × 138 ) / 828

LCM(126,276,138) = 4799088 / 828

LCM(126,276,138) = 5796


Lets's calculate GCF of 69,65,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5796/1

Therefore the LCM of Fractions 126/69,276/65,138/320 is 5796

Greatest Common Factor of 69,65,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,65,320 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 69,65,320 . The biggest common factor number is the GCF number.
So the greatest common factor 69,65,320 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 126/69, 276/65, 138/320

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 126/69, 276/65, 138/320?

Answer: LCM of Numerators as per given numbers 126/69, 276/65, 138/320 is

LCM of Numerators i.e. for 126,276,138 is 5796

GCF of denominators i.e. for 69,65,320 is 1.

Thus, LCM of Fractions is 5796.Finally, LCM of Fractions for 126/69, 276/65, 138/320 is 5796.