Least Common Multiple of 49/732, 2340/7938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/732, 2340/7938 quickly i.e. 19110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/732, 2340/7938 is 19110.

LCM(49/732, 2340/7938) = 19110

LCM of 49/732, 2340/7938

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 49/732,2340/7938

Given numbers are 49/732,2340/7938

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 49,2340

Least Common Multiple of Numerators i.e. LCM of 49,2340 is 114660.

GCF of Denominators means GCF of 732,7938 as per the given fractions.

GCF of 732,7938 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,2340

LCM of Fractions 49/732,2340/7938 is 19110

Given numbers has no common factors except 1. So, there LCM is their product i.e 114660

Least Common Multiple of 49,2340 with GCF Formula

Least Common Multiple of 49,2340 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 49,2340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,2340) = 1

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

GCF(49,2340) x common factors =1 x 1 = 1

LCM(49,2340) = ( 49 × 2340 ) / 1

LCM(49,2340) = 114660 / 1

LCM(49,2340) = 114660


Lets's calculate GCF of 732,7938

2 732, 7938
3 366, 3969
122, 1323

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114660/6

Therefore the LCM of Fractions 49/732,2340/7938 is 19110

Greatest Common Factor of 732,7938 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,7938 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938

Greatest Common Factor

We found the factors 732,7938 . The biggest common factor number is the GCF number.
So the greatest common factor 732,7938 is 6.


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 49/732, 2340/7938

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 49/732, 2340/7938?

Answer: LCM of Numerators as per given numbers 49/732, 2340/7938 is

LCM of Numerators i.e. for 49,2340 is 114660

GCF of denominators i.e. for 732,7938 is 6.

Thus, LCM of Fractions is 19110.Finally, LCM of Fractions for 49/732, 2340/7938 is 19110.