Least Common Multiple of 9426/749, 7768/3246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9426/749, 7768/3246 quickly i.e. 36610584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9426/749, 7768/3246 is 36610584.

LCM(9426/749, 7768/3246) = 36610584

LCM of 9426/749, 7768/3246

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 9426/749,7768/3246

Given numbers are 9426/749,7768/3246

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 9426,7768

Least Common Multiple of Numerators i.e. LCM of 9426,7768 is 36610584.

GCF of Denominators means GCF of 749,3246 as per the given fractions.

GCF of 749,3246 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9426,7768

LCM of Fractions 9426/749,7768/3246 is 36610584

2 9426, 7768
4713, 3884

∴ So the LCM of the given numbers is 2 x 4713 x 3884 = 36610584

Least Common Multiple of 9426,7768 with GCF Formula

Least Common Multiple of 9426,7768 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 9426,7768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9426,7768) = 2

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

GCF(9426,7768) x common factors =2 x 1 = 2

LCM(9426,7768) = ( 9426 × 7768 ) / 2

LCM(9426,7768) = 73221168 / 2

LCM(9426,7768) = 36610584


Lets's calculate GCF of 749,3246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36610584/1

Therefore the LCM of Fractions 9426/749,7768/3246 is 36610584

Greatest Common Factor of 749,3246 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,3246 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 3246

List of positive integer factors of 3246 that divides 3246 without a remainder.

1,2,3,6,541,1082,1623,3246

Greatest Common Factor

We found the factors 749,3246 . The biggest common factor number is the GCF number.
So the greatest common factor 749,3246 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 9426/749, 7768/3246

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 9426/749, 7768/3246?

Answer: LCM of Numerators as per given numbers 9426/749, 7768/3246 is

LCM of Numerators i.e. for 9426,7768 is 36610584

GCF of denominators i.e. for 749,3246 is 1.

Thus, LCM of Fractions is 36610584.Finally, LCM of Fractions for 9426/749, 7768/3246 is 36610584.