Least Common Multiple of 9232/690, 5976/4324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9232/690, 5976/4324 quickly i.e. 6896304/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9232/690, 5976/4324 is 6896304/46.

LCM(9232/690, 5976/4324) = 6896304/46

LCM of 9232/690, 5976/4324

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 9232/690,5976/4324

Given numbers are 9232/690,5976/4324

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 9232,5976

Least Common Multiple of Numerators i.e. LCM of 9232,5976 is 6896304.

GCF of Denominators means GCF of 690,4324 as per the given fractions.

GCF of 690,4324 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9232,5976

LCM of Fractions 9232/690,5976/4324 is 6896304/46

2 9232, 5976
2 4616, 2988
2 2308, 1494
1154, 747

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1154 x 747 = 6896304

Least Common Multiple of 9232,5976 with GCF Formula

Least Common Multiple of 9232,5976 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 9232,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9232,5976) = 8

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

GCF(9232,5976) x common factors =8 x 1 = 8

LCM(9232,5976) = ( 9232 × 5976 ) / 8

LCM(9232,5976) = 55170432 / 8

LCM(9232,5976) = 6896304


Lets's calculate GCF of 690,4324

2 690, 4324
23 345, 2162
15, 94

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6896304/46

Therefore the LCM of Fractions 9232/690,5976/4324 is 6896304/46

Greatest Common Factor of 690,4324 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,4324 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 4324

List of positive integer factors of 4324 that divides 4324 without a remainder.

1,2,4,23,46,47,92,94,188,1081,2162,4324

Greatest Common Factor

We found the factors 690,4324 . The biggest common factor number is the GCF number.
So the greatest common factor 690,4324 is 46.


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 9232/690, 5976/4324

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 9232/690, 5976/4324?

Answer: LCM of Numerators as per given numbers 9232/690, 5976/4324 is

LCM of Numerators i.e. for 9232,5976 is 6896304

GCF of denominators i.e. for 690,4324 is 46.

Thus, LCM of Fractions is 6896304/46.Finally, LCM of Fractions for 9232/690, 5976/4324 is 6896304/46.