Least Common Multiple of 48/528, 9452/4548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/528, 9452/4548 quickly i.e. 9452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/528, 9452/4548 is 9452.

LCM(48/528, 9452/4548) = 9452

LCM of 48/528, 9452/4548

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 48/528,9452/4548

Given numbers are 48/528,9452/4548

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 48,9452

Least Common Multiple of Numerators i.e. LCM of 48,9452 is 113424.

GCF of Denominators means GCF of 528,4548 as per the given fractions.

GCF of 528,4548 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,9452

LCM of Fractions 48/528,9452/4548 is 9452

2 48, 9452
2 24, 4726
12, 2363

∴ So the LCM of the given numbers is 2 x 2 x 12 x 2363 = 113424

Least Common Multiple of 48,9452 with GCF Formula

Least Common Multiple of 48,9452 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 48,9452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,9452) = 4

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

GCF(48,9452) x common factors =4 x 1 = 4

LCM(48,9452) = ( 48 × 9452 ) / 4

LCM(48,9452) = 453696 / 4

LCM(48,9452) = 113424


Lets's calculate GCF of 528,4548

2 528, 4548
2 264, 2274
3 132, 1137
44, 379

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113424/12

Therefore the LCM of Fractions 48/528,9452/4548 is 9452

Greatest Common Factor of 528,4548 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,4548 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 4548

List of positive integer factors of 4548 that divides 4548 without a remainder.

1,2,3,4,6,12,379,758,1137,1516,2274,4548

Greatest Common Factor

We found the factors 528,4548 . The biggest common factor number is the GCF number.
So the greatest common factor 528,4548 is 12.


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 48/528, 9452/4548

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 48/528, 9452/4548?

Answer: LCM of Numerators as per given numbers 48/528, 9452/4548 is

LCM of Numerators i.e. for 48,9452 is 113424

GCF of denominators i.e. for 528,4548 is 12.

Thus, LCM of Fractions is 9452.Finally, LCM of Fractions for 48/528, 9452/4548 is 9452.