Least Common Multiple of 249/42, 649/96, 104/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/42, 649/96, 104/313 quickly i.e. 16806504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/42, 649/96, 104/313 is 16806504.

LCM(249/42, 649/96, 104/313) = 16806504

LCM of 249/42, 649/96, 104/313

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 249/42,649/96,104/313

Given numbers are 249/42,649/96,104/313

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 249,649,104

Least Common Multiple of Numerators i.e. LCM of 249,649,104 is 16806504.

GCF of Denominators means GCF of 42,96,313 as per the given fractions.

GCF of 42,96,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,649,104

LCM of Fractions 249/42,649/96,104/313 is 16806504

Given numbers has no common factors except 1. So, there LCM is their product i.e 16806504

Least Common Multiple of 249,649,104 with GCF Formula

Least Common Multiple of 249,649,104 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 249,649,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,649,104) = 1

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

GCF(249,649,104) x common factors =1 x 1 = 1

LCM(249,649,104) = ( 249 × 649 × 104 ) / 1

LCM(249,649,104) = 16806504 / 1

LCM(249,649,104) = 16806504


Lets's calculate GCF of 42,96,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16806504/1

Therefore the LCM of Fractions 249/42,649/96,104/313 is 16806504

Greatest Common Factor of 42,96,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,96,313 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 42,96,313 . The biggest common factor number is the GCF number.
So the greatest common factor 42,96,313 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 249/42, 649/96, 104/313

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 249/42, 649/96, 104/313?

Answer: LCM of Numerators as per given numbers 249/42, 649/96, 104/313 is

LCM of Numerators i.e. for 249,649,104 is 16806504

GCF of denominators i.e. for 42,96,313 is 1.

Thus, LCM of Fractions is 16806504.Finally, LCM of Fractions for 249/42, 649/96, 104/313 is 16806504.