Least Common Multiple of 9739/110, 7840/3744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9739/110, 7840/3744 quickly i.e. 38176880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9739/110, 7840/3744 is 38176880.

LCM(9739/110, 7840/3744) = 38176880

LCM of 9739/110, 7840/3744

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 9739/110,7840/3744

Given numbers are 9739/110,7840/3744

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 9739,7840

Least Common Multiple of Numerators i.e. LCM of 9739,7840 is 76353760.

GCF of Denominators means GCF of 110,3744 as per the given fractions.

GCF of 110,3744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9739,7840

LCM of Fractions 9739/110,7840/3744 is 38176880

Given numbers has no common factors except 1. So, there LCM is their product i.e 76353760

Least Common Multiple of 9739,7840 with GCF Formula

Least Common Multiple of 9739,7840 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 9739,7840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9739,7840) = 1

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

GCF(9739,7840) x common factors =1 x 1 = 1

LCM(9739,7840) = ( 9739 × 7840 ) / 1

LCM(9739,7840) = 76353760 / 1

LCM(9739,7840) = 76353760


Lets's calculate GCF of 110,3744

2 110, 3744
55, 1872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76353760/2

Therefore the LCM of Fractions 9739/110,7840/3744 is 38176880

Greatest Common Factor of 110,3744 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,3744 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Greatest Common Factor

We found the factors 110,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 110,3744 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 9739/110, 7840/3744

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 9739/110, 7840/3744?

Answer: LCM of Numerators as per given numbers 9739/110, 7840/3744 is

LCM of Numerators i.e. for 9739,7840 is 76353760

GCF of denominators i.e. for 110,3744 is 2.

Thus, LCM of Fractions is 38176880.Finally, LCM of Fractions for 9739/110, 7840/3744 is 38176880.