Least Common Multiple of 49/25, 320/10, 208/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/25, 320/10, 208/123 quickly i.e. 203840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/25, 320/10, 208/123 is 203840.

LCM(49/25, 320/10, 208/123) = 203840

LCM of 49/25, 320/10, 208/123

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 49/25,320/10,208/123

Given numbers are 49/25,320/10,208/123

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 49,320,208

Least Common Multiple of Numerators i.e. LCM of 49,320,208 is 203840.

GCF of Denominators means GCF of 25,10,123 as per the given fractions.

GCF of 25,10,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,320,208

LCM of Fractions 49/25,320/10,208/123 is 203840

2 49, 320, 208
2 49, 160, 104
2 49, 80, 52
2 49, 40, 26
49, 20, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 20 x 13 = 203840

Least Common Multiple of 49,320,208 with GCF Formula

Least Common Multiple of 49,320,208 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 49,320,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,320,208) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(49,320,208) x common factors =1 x 16 = 16

LCM(49,320,208) = ( 49 × 320 × 208 ) / 16

LCM(49,320,208) = 3261440 / 16

LCM(49,320,208) = 203840


Lets's calculate GCF of 25,10,123

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203840/1

Therefore the LCM of Fractions 49/25,320/10,208/123 is 203840

Greatest Common Factor of 25,10,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,10,123 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 25,10,123 . The biggest common factor number is the GCF number.
So the greatest common factor 25,10,123 is 1.


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 49/25, 320/10, 208/123

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 49/25, 320/10, 208/123?

Answer: LCM of Numerators as per given numbers 49/25, 320/10, 208/123 is

LCM of Numerators i.e. for 49,320,208 is 203840

GCF of denominators i.e. for 25,10,123 is 1.

Thus, LCM of Fractions is 203840.Finally, LCM of Fractions for 49/25, 320/10, 208/123 is 203840.