Least Common Multiple of 97/545, 544/488, 178/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/545, 544/488, 178/181 quickly i.e. 4696352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/545, 544/488, 178/181 is 4696352.

LCM(97/545, 544/488, 178/181) = 4696352

LCM of 97/545, 544/488, 178/181

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 97/545,544/488,178/181

Given numbers are 97/545,544/488,178/181

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 97,544,178

Least Common Multiple of Numerators i.e. LCM of 97,544,178 is 4696352.

GCF of Denominators means GCF of 545,488,181 as per the given fractions.

GCF of 545,488,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,544,178

LCM of Fractions 97/545,544/488,178/181 is 4696352

2 97, 544, 178
97, 272, 89

∴ So the LCM of the given numbers is 2 x 97 x 272 x 89 = 4696352

Least Common Multiple of 97,544,178 with GCF Formula

Least Common Multiple of 97,544,178 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 97,544,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,544,178) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(97,544,178) x common factors =1 x 2 = 2

LCM(97,544,178) = ( 97 × 544 × 178 ) / 2

LCM(97,544,178) = 9392704 / 2

LCM(97,544,178) = 4696352


Lets's calculate GCF of 545,488,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4696352/1

Therefore the LCM of Fractions 97/545,544/488,178/181 is 4696352

Greatest Common Factor of 545,488,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 545,488,181 By Matching Biggest Common Factor Method

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 545,488,181 . The biggest common factor number is the GCF number.
So the greatest common factor 545,488,181 is 1.


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 97/545, 544/488, 178/181

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 97/545, 544/488, 178/181?

Answer: LCM of Numerators as per given numbers 97/545, 544/488, 178/181 is

LCM of Numerators i.e. for 97,544,178 is 4696352

GCF of denominators i.e. for 545,488,181 is 1.

Thus, LCM of Fractions is 4696352.Finally, LCM of Fractions for 97/545, 544/488, 178/181 is 4696352.