Least Common Multiple of 72/276, 92/382, 168/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/276, 92/382, 168/794 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 72/276, 92/382, 168/794 is 5796.

LCM(72/276, 92/382, 168/794) = 5796

LCM of 72/276, 92/382, 168/794

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 72/276,92/382,168/794

Given numbers are 72/276,92/382,168/794

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 72,92,168

Least Common Multiple of Numerators i.e. LCM of 72,92,168 is 11592.

GCF of Denominators means GCF of 276,382,794 as per the given fractions.

GCF of 276,382,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,92,168

LCM of Fractions 72/276,92/382,168/794 is 5796

2 72, 92, 168
2 36, 46, 84
2 18, 23, 42
3 9, 23, 21
3, 23, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 23 x 7 = 11592

Least Common Multiple of 72,92,168 with GCF Formula

Least Common Multiple of 72,92,168 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 72,92,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,92,168) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(72,92,168) x common factors =4 x 24 = 96

LCM(72,92,168) = ( 72 × 92 × 168 ) / 96

LCM(72,92,168) = 1112832 / 96

LCM(72,92,168) = 11592


Lets's calculate GCF of 276,382,794

2 276, 382, 794
138, 191, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11592/2

Therefore the LCM of Fractions 72/276,92/382,168/794 is 5796

Greatest Common Factor of 276,382,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,382,794 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 276,382,794 . The biggest common factor number is the GCF number.
So the greatest common factor 276,382,794 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 72/276, 92/382, 168/794

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 72/276, 92/382, 168/794?

Answer: LCM of Numerators as per given numbers 72/276, 92/382, 168/794 is

LCM of Numerators i.e. for 72,92,168 is 11592

GCF of denominators i.e. for 276,382,794 is 2.

Thus, LCM of Fractions is 5796.Finally, LCM of Fractions for 72/276, 92/382, 168/794 is 5796.