Least Common Multiple of 53/52, 48/14, 507/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/52, 48/14, 507/912 quickly i.e. 214968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/52, 48/14, 507/912 is 214968.

LCM(53/52, 48/14, 507/912) = 214968

LCM of 53/52, 48/14, 507/912

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 53/52,48/14,507/912

Given numbers are 53/52,48/14,507/912

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 53,48,507

Least Common Multiple of Numerators i.e. LCM of 53,48,507 is 429936.

GCF of Denominators means GCF of 52,14,912 as per the given fractions.

GCF of 52,14,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,48,507

LCM of Fractions 53/52,48/14,507/912 is 214968

3 53, 48, 507
53, 16, 169

∴ So the LCM of the given numbers is 3 x 53 x 16 x 169 = 429936

Least Common Multiple of 53,48,507 with GCF Formula

Least Common Multiple of 53,48,507 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 53,48,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,48,507) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(53,48,507) x common factors =1 x 3 = 3

LCM(53,48,507) = ( 53 × 48 × 507 ) / 3

LCM(53,48,507) = 1289808 / 3

LCM(53,48,507) = 429936


Lets's calculate GCF of 52,14,912

2 52, 14, 912
26, 7, 456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429936/2

Therefore the LCM of Fractions 53/52,48/14,507/912 is 214968

Greatest Common Factor of 52,14,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,14,912 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 52,14,912 . The biggest common factor number is the GCF number.
So the greatest common factor 52,14,912 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 53/52, 48/14, 507/912

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 53/52, 48/14, 507/912?

Answer: LCM of Numerators as per given numbers 53/52, 48/14, 507/912 is

LCM of Numerators i.e. for 53,48,507 is 429936

GCF of denominators i.e. for 52,14,912 is 2.

Thus, LCM of Fractions is 214968.Finally, LCM of Fractions for 53/52, 48/14, 507/912 is 214968.