Least Common Multiple of 91/266, 161/680, 476/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/266, 161/680, 476/736 quickly i.e. 71162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/266, 161/680, 476/736 is 71162.

LCM(91/266, 161/680, 476/736) = 71162

LCM of 91/266, 161/680, 476/736

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 91/266,161/680,476/736

Given numbers are 91/266,161/680,476/736

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 91,161,476

Least Common Multiple of Numerators i.e. LCM of 91,161,476 is 142324.

GCF of Denominators means GCF of 266,680,736 as per the given fractions.

GCF of 266,680,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,161,476

LCM of Fractions 91/266,161/680,476/736 is 71162

7 91, 161, 476
13, 23, 68

∴ So the LCM of the given numbers is 7 x 13 x 23 x 68 = 142324

Least Common Multiple of 91,161,476 with GCF Formula

Least Common Multiple of 91,161,476 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 91,161,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,161,476) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(91,161,476) x common factors =7 x 7 = 49

LCM(91,161,476) = ( 91 × 161 × 476 ) / 49

LCM(91,161,476) = 6973876 / 49

LCM(91,161,476) = 142324


Lets's calculate GCF of 266,680,736

2 266, 680, 736
133, 340, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142324/2

Therefore the LCM of Fractions 91/266,161/680,476/736 is 71162

Greatest Common Factor of 266,680,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,680,736 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 266,680,736 . The biggest common factor number is the GCF number.
So the greatest common factor 266,680,736 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 91/266, 161/680, 476/736

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 91/266, 161/680, 476/736?

Answer: LCM of Numerators as per given numbers 91/266, 161/680, 476/736 is

LCM of Numerators i.e. for 91,161,476 is 142324

GCF of denominators i.e. for 266,680,736 is 2.

Thus, LCM of Fractions is 71162.Finally, LCM of Fractions for 91/266, 161/680, 476/736 is 71162.