Least Common Multiple of 49/56, 96/63, 54/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/56, 96/63, 54/105 quickly i.e. 6048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/56, 96/63, 54/105 is 6048.

LCM(49/56, 96/63, 54/105) = 6048

LCM of 49/56, 96/63, 54/105

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 49/56,96/63,54/105

Given numbers are 49/56,96/63,54/105

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 49,96,54

Least Common Multiple of Numerators i.e. LCM of 49,96,54 is 42336.

GCF of Denominators means GCF of 56,63,105 as per the given fractions.

GCF of 56,63,105 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,96,54

LCM of Fractions 49/56,96/63,54/105 is 6048

2 49, 96, 54
3 49, 48, 27
49, 16, 9

∴ So the LCM of the given numbers is 2 x 3 x 49 x 16 x 9 = 42336

Least Common Multiple of 49,96,54 with GCF Formula

Least Common Multiple of 49,96,54 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 49,96,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,96,54) = 1

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

GCF(49,96,54) x common factors =1 x 6 = 6

LCM(49,96,54) = ( 49 × 96 × 54 ) / 6

LCM(49,96,54) = 254016 / 6

LCM(49,96,54) = 42336


Lets's calculate GCF of 56,63,105

7 56, 63, 105
8, 9, 15

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42336/7

Therefore the LCM of Fractions 49/56,96/63,54/105 is 6048

Greatest Common Factor of 56,63,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,63,105 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 63

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

1,3,7,9,21,63

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 56,63,105 . The biggest common factor number is the GCF number.
So the greatest common factor 56,63,105 is 7.


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 49/56, 96/63, 54/105

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 49/56, 96/63, 54/105?

Answer: LCM of Numerators as per given numbers 49/56, 96/63, 54/105 is

LCM of Numerators i.e. for 49,96,54 is 42336

GCF of denominators i.e. for 56,63,105 is 7.

Thus, LCM of Fractions is 6048.Finally, LCM of Fractions for 49/56, 96/63, 54/105 is 6048.