Least Common Multiple of 179/369, 598/703, 112/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 179/369, 598/703, 112/644 quickly i.e. 5994352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/369, 598/703, 112/644 is 5994352.

LCM(179/369, 598/703, 112/644) = 5994352

LCM of 179/369, 598/703, 112/644

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 179/369,598/703,112/644

Given numbers are 179/369,598/703,112/644

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 179,598,112

Least Common Multiple of Numerators i.e. LCM of 179,598,112 is 5994352.

GCF of Denominators means GCF of 369,703,644 as per the given fractions.

GCF of 369,703,644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,598,112

LCM of Fractions 179/369,598/703,112/644 is 5994352

2 179, 598, 112
179, 299, 56

∴ So the LCM of the given numbers is 2 x 179 x 299 x 56 = 5994352

Least Common Multiple of 179,598,112 with GCF Formula

Least Common Multiple of 179,598,112 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 179,598,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,598,112) = 1

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

GCF(179,598,112) x common factors =1 x 2 = 2

LCM(179,598,112) = ( 179 × 598 × 112 ) / 2

LCM(179,598,112) = 11988704 / 2

LCM(179,598,112) = 5994352


Lets's calculate GCF of 369,703,644

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5994352/1

Therefore the LCM of Fractions 179/369,598/703,112/644 is 5994352

Greatest Common Factor of 369,703,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,703,644 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 369,703,644 . The biggest common factor number is the GCF number.
So the greatest common factor 369,703,644 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 179/369, 598/703, 112/644

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 179/369, 598/703, 112/644?

Answer: LCM of Numerators as per given numbers 179/369, 598/703, 112/644 is

LCM of Numerators i.e. for 179,598,112 is 5994352

GCF of denominators i.e. for 369,703,644 is 1.

Thus, LCM of Fractions is 5994352.Finally, LCM of Fractions for 179/369, 598/703, 112/644 is 5994352.