Least Common Multiple of 49/38, 95/96, 64/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/38, 95/96, 64/204 quickly i.e. 148960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/38, 95/96, 64/204 is 148960.

LCM(49/38, 95/96, 64/204) = 148960

LCM of 49/38, 95/96, 64/204

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 49/38,95/96,64/204

Given numbers are 49/38,95/96,64/204

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 49,95,64

Least Common Multiple of Numerators i.e. LCM of 49,95,64 is 297920.

GCF of Denominators means GCF of 38,96,204 as per the given fractions.

GCF of 38,96,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,95,64

LCM of Fractions 49/38,95/96,64/204 is 148960

Given numbers has no common factors except 1. So, there LCM is their product i.e 297920

Least Common Multiple of 49,95,64 with GCF Formula

Least Common Multiple of 49,95,64 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 49,95,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,95,64) = 1

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

GCF(49,95,64) x common factors =1 x 1 = 1

LCM(49,95,64) = ( 49 × 95 × 64 ) / 1

LCM(49,95,64) = 297920 / 1

LCM(49,95,64) = 297920


Lets's calculate GCF of 38,96,204

2 38, 96, 204
19, 48, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297920/2

Therefore the LCM of Fractions 49/38,95/96,64/204 is 148960

Greatest Common Factor of 38,96,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,96,204 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 38,96,204 . The biggest common factor number is the GCF number.
So the greatest common factor 38,96,204 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 49/38, 95/96, 64/204

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 49/38, 95/96, 64/204?

Answer: LCM of Numerators as per given numbers 49/38, 95/96, 64/204 is

LCM of Numerators i.e. for 49,95,64 is 297920

GCF of denominators i.e. for 38,96,204 is 2.

Thus, LCM of Fractions is 148960.Finally, LCM of Fractions for 49/38, 95/96, 64/204 is 148960.