Least Common Multiple of 8354/852, 7616/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8354/852, 7616/292 quickly i.e. 7953008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8354/852, 7616/292 is 7953008.

LCM(8354/852, 7616/292) = 7953008

LCM of 8354/852, 7616/292

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 8354/852,7616/292

Given numbers are 8354/852,7616/292

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 8354,7616

Least Common Multiple of Numerators i.e. LCM of 8354,7616 is 31812032.

GCF of Denominators means GCF of 852,292 as per the given fractions.

GCF of 852,292 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8354,7616

LCM of Fractions 8354/852,7616/292 is 7953008

2 8354, 7616
4177, 3808

∴ So the LCM of the given numbers is 2 x 4177 x 3808 = 31812032

Least Common Multiple of 8354,7616 with GCF Formula

Least Common Multiple of 8354,7616 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 8354,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8354,7616) = 2

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

GCF(8354,7616) x common factors =2 x 1 = 2

LCM(8354,7616) = ( 8354 × 7616 ) / 2

LCM(8354,7616) = 63624064 / 2

LCM(8354,7616) = 31812032


Lets's calculate GCF of 852,292

2 852, 292
2 426, 146
213, 73

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31812032/4

Therefore the LCM of Fractions 8354/852,7616/292 is 7953008

Greatest Common Factor of 852,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,292 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 852,292 . The biggest common factor number is the GCF number.
So the greatest common factor 852,292 is 4.


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 8354/852, 7616/292

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 8354/852, 7616/292?

Answer: LCM of Numerators as per given numbers 8354/852, 7616/292 is

LCM of Numerators i.e. for 8354,7616 is 31812032

GCF of denominators i.e. for 852,292 is 4.

Thus, LCM of Fractions is 7953008.Finally, LCM of Fractions for 8354/852, 7616/292 is 7953008.