Least Common Multiple of 544/97, 761/56, 698/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/97, 761/56, 698/433 quickly i.e. 144480416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/97, 761/56, 698/433 is 144480416.

LCM(544/97, 761/56, 698/433) = 144480416

LCM of 544/97, 761/56, 698/433

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 544/97,761/56,698/433

Given numbers are 544/97,761/56,698/433

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 544,761,698

Least Common Multiple of Numerators i.e. LCM of 544,761,698 is 144480416.

GCF of Denominators means GCF of 97,56,433 as per the given fractions.

GCF of 97,56,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,761,698

LCM of Fractions 544/97,761/56,698/433 is 144480416

2 544, 761, 698
272, 761, 349

∴ So the LCM of the given numbers is 2 x 272 x 761 x 349 = 144480416

Least Common Multiple of 544,761,698 with GCF Formula

Least Common Multiple of 544,761,698 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 544,761,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,761,698) = 1

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

GCF(544,761,698) x common factors =1 x 2 = 2

LCM(544,761,698) = ( 544 × 761 × 698 ) / 2

LCM(544,761,698) = 288960832 / 2

LCM(544,761,698) = 144480416


Lets's calculate GCF of 97,56,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144480416/1

Therefore the LCM of Fractions 544/97,761/56,698/433 is 144480416

Greatest Common Factor of 97,56,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,56,433 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 97,56,433 . The biggest common factor number is the GCF number.
So the greatest common factor 97,56,433 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 544/97, 761/56, 698/433

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 544/97, 761/56, 698/433?

Answer: LCM of Numerators as per given numbers 544/97, 761/56, 698/433 is

LCM of Numerators i.e. for 544,761,698 is 144480416

GCF of denominators i.e. for 97,56,433 is 1.

Thus, LCM of Fractions is 144480416.Finally, LCM of Fractions for 544/97, 761/56, 698/433 is 144480416.