Least Common Multiple of 91/438, 13/212, 461/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/438, 13/212, 461/174 quickly i.e. 41951/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/438, 13/212, 461/174 is 41951/2.

LCM(91/438, 13/212, 461/174) = 41951/2

LCM of 91/438, 13/212, 461/174

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 91/438,13/212,461/174

Given numbers are 91/438,13/212,461/174

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 91,13,461

Least Common Multiple of Numerators i.e. LCM of 91,13,461 is 41951.

GCF of Denominators means GCF of 438,212,174 as per the given fractions.

GCF of 438,212,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,13,461

LCM of Fractions 91/438,13/212,461/174 is 41951/2

13 91, 13, 461
7, 1, 461

∴ So the LCM of the given numbers is 13 x 7 x 1 x 461 = 41951

Least Common Multiple of 91,13,461 with GCF Formula

Least Common Multiple of 91,13,461 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 91,13,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,13,461) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,13,461) x common factors =1 x 13 = 13

LCM(91,13,461) = ( 91 × 13 × 461 ) / 13

LCM(91,13,461) = 545363 / 13

LCM(91,13,461) = 41951


Lets's calculate GCF of 438,212,174

2 438, 212, 174
219, 106, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41951/2

Therefore the LCM of Fractions 91/438,13/212,461/174 is 41951/2

Greatest Common Factor of 438,212,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,212,174 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 438,212,174 . The biggest common factor number is the GCF number.
So the greatest common factor 438,212,174 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 91/438, 13/212, 461/174

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 91/438, 13/212, 461/174?

Answer: LCM of Numerators as per given numbers 91/438, 13/212, 461/174 is

LCM of Numerators i.e. for 91,13,461 is 41951

GCF of denominators i.e. for 438,212,174 is 2.

Thus, LCM of Fractions is 41951/2.Finally, LCM of Fractions for 91/438, 13/212, 461/174 is 41951/2.