Least Common Multiple of 96/852, 6245/7244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/852, 6245/7244 quickly i.e. 149880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/852, 6245/7244 is 149880.

LCM(96/852, 6245/7244) = 149880

LCM of 96/852, 6245/7244

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 96/852,6245/7244

Given numbers are 96/852,6245/7244

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 96,6245

Least Common Multiple of Numerators i.e. LCM of 96,6245 is 599520.

GCF of Denominators means GCF of 852,7244 as per the given fractions.

GCF of 852,7244 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,6245

LCM of Fractions 96/852,6245/7244 is 149880

Given numbers has no common factors except 1. So, there LCM is their product i.e 599520

Least Common Multiple of 96,6245 with GCF Formula

Least Common Multiple of 96,6245 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 96,6245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,6245) = 1

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

GCF(96,6245) x common factors =1 x 1 = 1

LCM(96,6245) = ( 96 × 6245 ) / 1

LCM(96,6245) = 599520 / 1

LCM(96,6245) = 599520


Lets's calculate GCF of 852,7244

2 852, 7244
2 426, 3622
213, 1811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599520/4

Therefore the LCM of Fractions 96/852,6245/7244 is 149880

Greatest Common Factor of 852,7244 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,7244 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 7244

List of positive integer factors of 7244 that divides 7244 without a remainder.

1,2,4,1811,3622,7244

Greatest Common Factor

We found the factors 852,7244 . The biggest common factor number is the GCF number.
So the greatest common factor 852,7244 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 96/852, 6245/7244

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 96/852, 6245/7244?

Answer: LCM of Numerators as per given numbers 96/852, 6245/7244 is

LCM of Numerators i.e. for 96,6245 is 599520

GCF of denominators i.e. for 852,7244 is 4.

Thus, LCM of Fractions is 149880.Finally, LCM of Fractions for 96/852, 6245/7244 is 149880.