Least Common Multiple of 49/253, 40/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/253, 40/672 quickly i.e. 1960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/253, 40/672 is 1960.

LCM(49/253, 40/672) = 1960

LCM of 49/253, 40/672

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 49/253,40/672

Given numbers are 49/253,40/672

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 49,40

Least Common Multiple of Numerators i.e. LCM of 49,40 is 1960.

GCF of Denominators means GCF of 253,672 as per the given fractions.

GCF of 253,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,40

LCM of Fractions 49/253,40/672 is 1960

Given numbers has no common factors except 1. So, there LCM is their product i.e 1960

Least Common Multiple of 49,40 with GCF Formula

Least Common Multiple of 49,40 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 49,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,40) = 1

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

GCF(49,40) x common factors =1 x 1 = 1

LCM(49,40) = ( 49 × 40 ) / 1

LCM(49,40) = 1960 / 1

LCM(49,40) = 1960


Lets's calculate GCF of 253,672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1960/1

Therefore the LCM of Fractions 49/253,40/672 is 1960

Greatest Common Factor of 253,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,672 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 253,672 . The biggest common factor number is the GCF number.
So the greatest common factor 253,672 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 49/253, 40/672

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 49/253, 40/672?

Answer: LCM of Numerators as per given numbers 49/253, 40/672 is

LCM of Numerators i.e. for 49,40 is 1960

GCF of denominators i.e. for 253,672 is 1.

Thus, LCM of Fractions is 1960.Finally, LCM of Fractions for 49/253, 40/672 is 1960.