Least Common Multiple of 49/944, 7992/4690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/944, 7992/4690 quickly i.e. 195804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/944, 7992/4690 is 195804.

LCM(49/944, 7992/4690) = 195804

LCM of 49/944, 7992/4690

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 49/944,7992/4690

Given numbers are 49/944,7992/4690

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 49,7992

Least Common Multiple of Numerators i.e. LCM of 49,7992 is 391608.

GCF of Denominators means GCF of 944,4690 as per the given fractions.

GCF of 944,4690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,7992

LCM of Fractions 49/944,7992/4690 is 195804

Given numbers has no common factors except 1. So, there LCM is their product i.e 391608

Least Common Multiple of 49,7992 with GCF Formula

Least Common Multiple of 49,7992 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 49,7992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,7992) = 1

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

GCF(49,7992) x common factors =1 x 1 = 1

LCM(49,7992) = ( 49 × 7992 ) / 1

LCM(49,7992) = 391608 / 1

LCM(49,7992) = 391608


Lets's calculate GCF of 944,4690

2 944, 4690
472, 2345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391608/2

Therefore the LCM of Fractions 49/944,7992/4690 is 195804

Greatest Common Factor of 944,4690 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,4690 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 4690

List of positive integer factors of 4690 that divides 4690 without a remainder.

1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690

Greatest Common Factor

We found the factors 944,4690 . The biggest common factor number is the GCF number.
So the greatest common factor 944,4690 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 49/944, 7992/4690

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 49/944, 7992/4690?

Answer: LCM of Numerators as per given numbers 49/944, 7992/4690 is

LCM of Numerators i.e. for 49,7992 is 391608

GCF of denominators i.e. for 944,4690 is 2.

Thus, LCM of Fractions is 195804.Finally, LCM of Fractions for 49/944, 7992/4690 is 195804.