Least Common Multiple of 1596/677, 9157/2751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1596/677, 9157/2751 quickly i.e. 14614572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1596/677, 9157/2751 is 14614572.

LCM(1596/677, 9157/2751) = 14614572

LCM of 1596/677, 9157/2751

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 1596/677,9157/2751

Given numbers are 1596/677,9157/2751

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 1596,9157

Least Common Multiple of Numerators i.e. LCM of 1596,9157 is 14614572.

GCF of Denominators means GCF of 677,2751 as per the given fractions.

GCF of 677,2751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1596,9157

LCM of Fractions 1596/677,9157/2751 is 14614572

Given numbers has no common factors except 1. So, there LCM is their product i.e 14614572

Least Common Multiple of 1596,9157 with GCF Formula

Least Common Multiple of 1596,9157 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 1596,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1596,9157) = 1

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

GCF(1596,9157) x common factors =1 x 1 = 1

LCM(1596,9157) = ( 1596 × 9157 ) / 1

LCM(1596,9157) = 14614572 / 1

LCM(1596,9157) = 14614572


Lets's calculate GCF of 677,2751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14614572/1

Therefore the LCM of Fractions 1596/677,9157/2751 is 14614572

Greatest Common Factor of 677,2751 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,2751 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 2751

List of positive integer factors of 2751 that divides 2751 without a remainder.

1,3,7,21,131,393,917,2751

Greatest Common Factor

We found the factors 677,2751 . The biggest common factor number is the GCF number.
So the greatest common factor 677,2751 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 1596/677, 9157/2751

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 1596/677, 9157/2751?

Answer: LCM of Numerators as per given numbers 1596/677, 9157/2751 is

LCM of Numerators i.e. for 1596,9157 is 14614572

GCF of denominators i.e. for 677,2751 is 1.

Thus, LCM of Fractions is 14614572.Finally, LCM of Fractions for 1596/677, 9157/2751 is 14614572.