Least Common Multiple of 55/91, 300/55, 123/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/91, 300/55, 123/452 quickly i.e. 135300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/91, 300/55, 123/452 is 135300.

LCM(55/91, 300/55, 123/452) = 135300

LCM of 55/91, 300/55, 123/452

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 55/91,300/55,123/452

Given numbers are 55/91,300/55,123/452

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 55,300,123

Least Common Multiple of Numerators i.e. LCM of 55,300,123 is 135300.

GCF of Denominators means GCF of 91,55,452 as per the given fractions.

GCF of 91,55,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,300,123

LCM of Fractions 55/91,300/55,123/452 is 135300

3 55, 300, 123
5 55, 100, 41
11, 20, 41

∴ So the LCM of the given numbers is 3 x 5 x 11 x 20 x 41 = 135300

Least Common Multiple of 55,300,123 with GCF Formula

Least Common Multiple of 55,300,123 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 55,300,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,300,123) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(55,300,123) x common factors =1 x 15 = 15

LCM(55,300,123) = ( 55 × 300 × 123 ) / 15

LCM(55,300,123) = 2029500 / 15

LCM(55,300,123) = 135300


Lets's calculate GCF of 91,55,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135300/1

Therefore the LCM of Fractions 55/91,300/55,123/452 is 135300

Greatest Common Factor of 91,55,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,55,452 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 91,55,452 . The biggest common factor number is the GCF number.
So the greatest common factor 91,55,452 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/91, 300/55, 123/452

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 55/91, 300/55, 123/452?

Answer: LCM of Numerators as per given numbers 55/91, 300/55, 123/452 is

LCM of Numerators i.e. for 55,300,123 is 135300

GCF of denominators i.e. for 91,55,452 is 1.

Thus, LCM of Fractions is 135300.Finally, LCM of Fractions for 55/91, 300/55, 123/452 is 135300.