Least Common Multiple of 19/756, 79/495, 179/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/756, 79/495, 179/548 quickly i.e. 268679 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/756, 79/495, 179/548 is 268679.

LCM(19/756, 79/495, 179/548) = 268679

LCM of 19/756, 79/495, 179/548

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 19/756,79/495,179/548

Given numbers are 19/756,79/495,179/548

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 19,79,179

Least Common Multiple of Numerators i.e. LCM of 19,79,179 is 268679.

GCF of Denominators means GCF of 756,495,548 as per the given fractions.

GCF of 756,495,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,79,179

LCM of Fractions 19/756,79/495,179/548 is 268679

Given numbers has no common factors except 1. So, there LCM is their product i.e 268679

Least Common Multiple of 19,79,179 with GCF Formula

Least Common Multiple of 19,79,179 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 19,79,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,79,179) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(19,79,179) x common factors =1 x 1 = 1

LCM(19,79,179) = ( 19 × 79 × 179 ) / 1

LCM(19,79,179) = 268679 / 1

LCM(19,79,179) = 268679


Lets's calculate GCF of 756,495,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268679/1

Therefore the LCM of Fractions 19/756,79/495,179/548 is 268679

Greatest Common Factor of 756,495,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,495,548 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 756,495,548 . The biggest common factor number is the GCF number.
So the greatest common factor 756,495,548 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 19/756, 79/495, 179/548

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 19/756, 79/495, 179/548?

Answer: LCM of Numerators as per given numbers 19/756, 79/495, 179/548 is

LCM of Numerators i.e. for 19,79,179 is 268679

GCF of denominators i.e. for 756,495,548 is 1.

Thus, LCM of Fractions is 268679.Finally, LCM of Fractions for 19/756, 79/495, 179/548 is 268679.