Least Common Multiple of 79/103, 842/569, 144/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/103, 842/569, 144/554 quickly i.e. 4789296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/103, 842/569, 144/554 is 4789296.

LCM(79/103, 842/569, 144/554) = 4789296

LCM of 79/103, 842/569, 144/554

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 79/103,842/569,144/554

Given numbers are 79/103,842/569,144/554

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 79,842,144

Least Common Multiple of Numerators i.e. LCM of 79,842,144 is 4789296.

GCF of Denominators means GCF of 103,569,554 as per the given fractions.

GCF of 103,569,554 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,842,144

LCM of Fractions 79/103,842/569,144/554 is 4789296

2 79, 842, 144
79, 421, 72

∴ So the LCM of the given numbers is 2 x 79 x 421 x 72 = 4789296

Least Common Multiple of 79,842,144 with GCF Formula

Least Common Multiple of 79,842,144 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 79,842,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,842,144) = 1

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

GCF(79,842,144) x common factors =1 x 2 = 2

LCM(79,842,144) = ( 79 × 842 × 144 ) / 2

LCM(79,842,144) = 9578592 / 2

LCM(79,842,144) = 4789296


Lets's calculate GCF of 103,569,554

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4789296/1

Therefore the LCM of Fractions 79/103,842/569,144/554 is 4789296

Greatest Common Factor of 103,569,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,569,554 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 103,569,554 . The biggest common factor number is the GCF number.
So the greatest common factor 103,569,554 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 79/103, 842/569, 144/554

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 79/103, 842/569, 144/554?

Answer: LCM of Numerators as per given numbers 79/103, 842/569, 144/554 is

LCM of Numerators i.e. for 79,842,144 is 4789296

GCF of denominators i.e. for 103,569,554 is 1.

Thus, LCM of Fractions is 4789296.Finally, LCM of Fractions for 79/103, 842/569, 144/554 is 4789296.