Least Common Multiple of 4404/468, 5296/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4404/468, 5296/526 quickly i.e. 2915448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4404/468, 5296/526 is 2915448.

LCM(4404/468, 5296/526) = 2915448

LCM of 4404/468, 5296/526

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 4404/468,5296/526

Given numbers are 4404/468,5296/526

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 4404,5296

Least Common Multiple of Numerators i.e. LCM of 4404,5296 is 5830896.

GCF of Denominators means GCF of 468,526 as per the given fractions.

GCF of 468,526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4404,5296

LCM of Fractions 4404/468,5296/526 is 2915448

2 4404, 5296
2 2202, 2648
1101, 1324

∴ So the LCM of the given numbers is 2 x 2 x 1101 x 1324 = 5830896

Least Common Multiple of 4404,5296 with GCF Formula

Least Common Multiple of 4404,5296 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 4404,5296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4404,5296) = 4

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

GCF(4404,5296) x common factors =4 x 1 = 4

LCM(4404,5296) = ( 4404 × 5296 ) / 4

LCM(4404,5296) = 23323584 / 4

LCM(4404,5296) = 5830896


Lets's calculate GCF of 468,526

2 468, 526
234, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5830896/2

Therefore the LCM of Fractions 4404/468,5296/526 is 2915448

Greatest Common Factor of 468,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,526 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 468,526 . The biggest common factor number is the GCF number.
So the greatest common factor 468,526 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4404/468, 5296/526

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 4404/468, 5296/526?

Answer: LCM of Numerators as per given numbers 4404/468, 5296/526 is

LCM of Numerators i.e. for 4404,5296 is 5830896

GCF of denominators i.e. for 468,526 is 2.

Thus, LCM of Fractions is 2915448.Finally, LCM of Fractions for 4404/468, 5296/526 is 2915448.