Least Common Multiple of 276/71, 312/65, 100/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/71, 312/65, 100/265 quickly i.e. 179400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/71, 312/65, 100/265 is 179400.

LCM(276/71, 312/65, 100/265) = 179400

LCM of 276/71, 312/65, 100/265

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 276/71,312/65,100/265

Given numbers are 276/71,312/65,100/265

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 276,312,100

Least Common Multiple of Numerators i.e. LCM of 276,312,100 is 179400.

GCF of Denominators means GCF of 71,65,265 as per the given fractions.

GCF of 71,65,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,312,100

LCM of Fractions 276/71,312/65,100/265 is 179400

2 276, 312, 100
2 138, 156, 50
3 69, 78, 25
23, 26, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 26 x 25 = 179400

Least Common Multiple of 276,312,100 with GCF Formula

Least Common Multiple of 276,312,100 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 276,312,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,312,100) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(276,312,100) x common factors =4 x 12 = 48

LCM(276,312,100) = ( 276 × 312 × 100 ) / 48

LCM(276,312,100) = 8611200 / 48

LCM(276,312,100) = 179400


Lets's calculate GCF of 71,65,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179400/1

Therefore the LCM of Fractions 276/71,312/65,100/265 is 179400

Greatest Common Factor of 71,65,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,65,265 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 65

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

1,5,13,65

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 71,65,265 . The biggest common factor number is the GCF number.
So the greatest common factor 71,65,265 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 276/71, 312/65, 100/265

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 276/71, 312/65, 100/265?

Answer: LCM of Numerators as per given numbers 276/71, 312/65, 100/265 is

LCM of Numerators i.e. for 276,312,100 is 179400

GCF of denominators i.e. for 71,65,265 is 1.

Thus, LCM of Fractions is 179400.Finally, LCM of Fractions for 276/71, 312/65, 100/265 is 179400.