Least Common Multiple of 91/208, 303/351, 546/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/208, 303/351, 546/943 quickly i.e. 55146 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/208, 303/351, 546/943 is 55146.

LCM(91/208, 303/351, 546/943) = 55146

LCM of 91/208, 303/351, 546/943

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 91/208,303/351,546/943

Given numbers are 91/208,303/351,546/943

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 91,303,546

Least Common Multiple of Numerators i.e. LCM of 91,303,546 is 55146.

GCF of Denominators means GCF of 208,351,943 as per the given fractions.

GCF of 208,351,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,303,546

LCM of Fractions 91/208,303/351,546/943 is 55146

3 91, 303, 546
7 91, 101, 182
13 13, 101, 26
1, 101, 2

∴ So the LCM of the given numbers is 3 x 7 x 13 x 1 x 101 x 2 = 55146

Least Common Multiple of 91,303,546 with GCF Formula

Least Common Multiple of 91,303,546 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 91,303,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,303,546) = 1

common factors(in case of two or more numbers have common factors) = 273

GCF(91,303,546) x common factors =1 x 273 = 273

LCM(91,303,546) = ( 91 × 303 × 546 ) / 273

LCM(91,303,546) = 15054858 / 273

LCM(91,303,546) = 55146


Lets's calculate GCF of 208,351,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55146/1

Therefore the LCM of Fractions 91/208,303/351,546/943 is 55146

Greatest Common Factor of 208,351,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,351,943 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 208,351,943 . The biggest common factor number is the GCF number.
So the greatest common factor 208,351,943 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/208, 303/351, 546/943

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 91/208, 303/351, 546/943?

Answer: LCM of Numerators as per given numbers 91/208, 303/351, 546/943 is

LCM of Numerators i.e. for 91,303,546 is 55146

GCF of denominators i.e. for 208,351,943 is 1.

Thus, LCM of Fractions is 55146.Finally, LCM of Fractions for 91/208, 303/351, 546/943 is 55146.