Least Common Multiple of 9542/785, 6880/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9542/785, 6880/164 quickly i.e. 32824480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9542/785, 6880/164 is 32824480.

LCM(9542/785, 6880/164) = 32824480

LCM of 9542/785, 6880/164

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 9542/785,6880/164

Given numbers are 9542/785,6880/164

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 9542,6880

Least Common Multiple of Numerators i.e. LCM of 9542,6880 is 32824480.

GCF of Denominators means GCF of 785,164 as per the given fractions.

GCF of 785,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9542,6880

LCM of Fractions 9542/785,6880/164 is 32824480

2 9542, 6880
4771, 3440

∴ So the LCM of the given numbers is 2 x 4771 x 3440 = 32824480

Least Common Multiple of 9542,6880 with GCF Formula

Least Common Multiple of 9542,6880 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 9542,6880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9542,6880) = 2

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

GCF(9542,6880) x common factors =2 x 1 = 2

LCM(9542,6880) = ( 9542 × 6880 ) / 2

LCM(9542,6880) = 65648960 / 2

LCM(9542,6880) = 32824480


Lets's calculate GCF of 785,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32824480/1

Therefore the LCM of Fractions 9542/785,6880/164 is 32824480

Greatest Common Factor of 785,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,164 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 785,164 . The biggest common factor number is the GCF number.
So the greatest common factor 785,164 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 9542/785, 6880/164

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 9542/785, 6880/164?

Answer: LCM of Numerators as per given numbers 9542/785, 6880/164 is

LCM of Numerators i.e. for 9542,6880 is 32824480

GCF of denominators i.e. for 785,164 is 1.

Thus, LCM of Fractions is 32824480.Finally, LCM of Fractions for 9542/785, 6880/164 is 32824480.