Least Common Multiple of 9528/528, 9752/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9528/528, 9752/629 quickly i.e. 11614632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9528/528, 9752/629 is 11614632.

LCM(9528/528, 9752/629) = 11614632

LCM of 9528/528, 9752/629

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 9528/528,9752/629

Given numbers are 9528/528,9752/629

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 9528,9752

Least Common Multiple of Numerators i.e. LCM of 9528,9752 is 11614632.

GCF of Denominators means GCF of 528,629 as per the given fractions.

GCF of 528,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9528,9752

LCM of Fractions 9528/528,9752/629 is 11614632

2 9528, 9752
2 4764, 4876
2 2382, 2438
1191, 1219

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1191 x 1219 = 11614632

Least Common Multiple of 9528,9752 with GCF Formula

Least Common Multiple of 9528,9752 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 9528,9752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9528,9752) = 8

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

GCF(9528,9752) x common factors =8 x 1 = 8

LCM(9528,9752) = ( 9528 × 9752 ) / 8

LCM(9528,9752) = 92917056 / 8

LCM(9528,9752) = 11614632


Lets's calculate GCF of 528,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11614632/1

Therefore the LCM of Fractions 9528/528,9752/629 is 11614632

Greatest Common Factor of 528,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,629 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 528,629 . The biggest common factor number is the GCF number.
So the greatest common factor 528,629 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9528/528, 9752/629

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 9528/528, 9752/629?

Answer: LCM of Numerators as per given numbers 9528/528, 9752/629 is

LCM of Numerators i.e. for 9528,9752 is 11614632

GCF of denominators i.e. for 528,629 is 1.

Thus, LCM of Fractions is 11614632.Finally, LCM of Fractions for 9528/528, 9752/629 is 11614632.