Least Common Multiple of 48/39, 71/63, 534/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/39, 71/63, 534/624 quickly i.e. 101104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/39, 71/63, 534/624 is 101104.

LCM(48/39, 71/63, 534/624) = 101104

LCM of 48/39, 71/63, 534/624

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 48/39,71/63,534/624

Given numbers are 48/39,71/63,534/624

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 48,71,534

Least Common Multiple of Numerators i.e. LCM of 48,71,534 is 303312.

GCF of Denominators means GCF of 39,63,624 as per the given fractions.

GCF of 39,63,624 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,71,534

LCM of Fractions 48/39,71/63,534/624 is 101104

2 48, 71, 534
3 24, 71, 267
8, 71, 89

∴ So the LCM of the given numbers is 2 x 3 x 8 x 71 x 89 = 303312

Least Common Multiple of 48,71,534 with GCF Formula

Least Common Multiple of 48,71,534 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 48,71,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,71,534) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(48,71,534) x common factors =1 x 6 = 6

LCM(48,71,534) = ( 48 × 71 × 534 ) / 6

LCM(48,71,534) = 1819872 / 6

LCM(48,71,534) = 303312


Lets's calculate GCF of 39,63,624

3 39, 63, 624
13, 21, 208

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303312/3

Therefore the LCM of Fractions 48/39,71/63,534/624 is 101104

Greatest Common Factor of 39,63,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,63,624 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 39,63,624 . The biggest common factor number is the GCF number.
So the greatest common factor 39,63,624 is 3.


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 48/39, 71/63, 534/624

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 48/39, 71/63, 534/624?

Answer: LCM of Numerators as per given numbers 48/39, 71/63, 534/624 is

LCM of Numerators i.e. for 48,71,534 is 303312

GCF of denominators i.e. for 39,63,624 is 3.

Thus, LCM of Fractions is 101104.Finally, LCM of Fractions for 48/39, 71/63, 534/624 is 101104.