Least Common Multiple of 3944/760, 9524/4126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3944/760, 9524/4126 quickly i.e. 4695332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3944/760, 9524/4126 is 4695332.

LCM(3944/760, 9524/4126) = 4695332

LCM of 3944/760, 9524/4126

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 3944/760,9524/4126

Given numbers are 3944/760,9524/4126

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 3944,9524

Least Common Multiple of Numerators i.e. LCM of 3944,9524 is 9390664.

GCF of Denominators means GCF of 760,4126 as per the given fractions.

GCF of 760,4126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3944,9524

LCM of Fractions 3944/760,9524/4126 is 4695332

2 3944, 9524
2 1972, 4762
986, 2381

∴ So the LCM of the given numbers is 2 x 2 x 986 x 2381 = 9390664

Least Common Multiple of 3944,9524 with GCF Formula

Least Common Multiple of 3944,9524 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 3944,9524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3944,9524) = 4

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

GCF(3944,9524) x common factors =4 x 1 = 4

LCM(3944,9524) = ( 3944 × 9524 ) / 4

LCM(3944,9524) = 37562656 / 4

LCM(3944,9524) = 9390664


Lets's calculate GCF of 760,4126

2 760, 4126
380, 2063

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9390664/2

Therefore the LCM of Fractions 3944/760,9524/4126 is 4695332

Greatest Common Factor of 760,4126 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,4126 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 4126

List of positive integer factors of 4126 that divides 4126 without a remainder.

1,2,2063,4126

Greatest Common Factor

We found the factors 760,4126 . The biggest common factor number is the GCF number.
So the greatest common factor 760,4126 is 2.


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 3944/760, 9524/4126

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 3944/760, 9524/4126?

Answer: LCM of Numerators as per given numbers 3944/760, 9524/4126 is

LCM of Numerators i.e. for 3944,9524 is 9390664

GCF of denominators i.e. for 760,4126 is 2.

Thus, LCM of Fractions is 4695332.Finally, LCM of Fractions for 3944/760, 9524/4126 is 4695332.