Least Common Multiple of 5408/957, 6166/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5408/957, 6166/704 quickly i.e. 16672864/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5408/957, 6166/704 is 16672864/11.

LCM(5408/957, 6166/704) = 16672864/11

LCM of 5408/957, 6166/704

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 5408/957,6166/704

Given numbers are 5408/957,6166/704

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 5408,6166

Least Common Multiple of Numerators i.e. LCM of 5408,6166 is 16672864.

GCF of Denominators means GCF of 957,704 as per the given fractions.

GCF of 957,704 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5408,6166

LCM of Fractions 5408/957,6166/704 is 16672864/11

2 5408, 6166
2704, 3083

∴ So the LCM of the given numbers is 2 x 2704 x 3083 = 16672864

Least Common Multiple of 5408,6166 with GCF Formula

Least Common Multiple of 5408,6166 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 5408,6166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5408,6166) = 2

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

GCF(5408,6166) x common factors =2 x 1 = 2

LCM(5408,6166) = ( 5408 × 6166 ) / 2

LCM(5408,6166) = 33345728 / 2

LCM(5408,6166) = 16672864


Lets's calculate GCF of 957,704

11 957, 704
87, 64

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16672864/11

Therefore the LCM of Fractions 5408/957,6166/704 is 16672864/11

Greatest Common Factor of 957,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,704 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 957,704 . The biggest common factor number is the GCF number.
So the greatest common factor 957,704 is 11.


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 5408/957, 6166/704

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 5408/957, 6166/704?

Answer: LCM of Numerators as per given numbers 5408/957, 6166/704 is

LCM of Numerators i.e. for 5408,6166 is 16672864

GCF of denominators i.e. for 957,704 is 11.

Thus, LCM of Fractions is 16672864/11.Finally, LCM of Fractions for 5408/957, 6166/704 is 16672864/11.