Least Common Multiple of 75/891, 56/558, 848/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/891, 56/558, 848/243 quickly i.e. 445200/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/891, 56/558, 848/243 is 445200/9.

LCM(75/891, 56/558, 848/243) = 445200/9

LCM of 75/891, 56/558, 848/243

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 75/891,56/558,848/243

Given numbers are 75/891,56/558,848/243

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 75,56,848

Least Common Multiple of Numerators i.e. LCM of 75,56,848 is 445200.

GCF of Denominators means GCF of 891,558,243 as per the given fractions.

GCF of 891,558,243 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,56,848

LCM of Fractions 75/891,56/558,848/243 is 445200/9

2 75, 56, 848
2 75, 28, 424
2 75, 14, 212
75, 7, 106

∴ So the LCM of the given numbers is 2 x 2 x 2 x 75 x 7 x 106 = 445200

Least Common Multiple of 75,56,848 with GCF Formula

Least Common Multiple of 75,56,848 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 75,56,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,56,848) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(75,56,848) x common factors =1 x 8 = 8

LCM(75,56,848) = ( 75 × 56 × 848 ) / 8

LCM(75,56,848) = 3561600 / 8

LCM(75,56,848) = 445200


Lets's calculate GCF of 891,558,243

3 891, 558, 243
3 297, 186, 81
99, 62, 27

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445200/9

Therefore the LCM of Fractions 75/891,56/558,848/243 is 445200/9

Greatest Common Factor of 891,558,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,558,243 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 891,558,243 . The biggest common factor number is the GCF number.
So the greatest common factor 891,558,243 is 9.


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 75/891, 56/558, 848/243

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 75/891, 56/558, 848/243?

Answer: LCM of Numerators as per given numbers 75/891, 56/558, 848/243 is

LCM of Numerators i.e. for 75,56,848 is 445200

GCF of denominators i.e. for 891,558,243 is 9.

Thus, LCM of Fractions is 445200/9.Finally, LCM of Fractions for 75/891, 56/558, 848/243 is 445200/9.