Least Common Multiple of 7742/756, 5694/3766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7742/756, 5694/3766 quickly i.e. 1574391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7742/756, 5694/3766 is 1574391.

LCM(7742/756, 5694/3766) = 1574391

LCM of 7742/756, 5694/3766

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 7742/756,5694/3766

Given numbers are 7742/756,5694/3766

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 7742,5694

Least Common Multiple of Numerators i.e. LCM of 7742,5694 is 22041474.

GCF of Denominators means GCF of 756,3766 as per the given fractions.

GCF of 756,3766 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7742,5694

LCM of Fractions 7742/756,5694/3766 is 1574391

2 7742, 5694
3871, 2847

∴ So the LCM of the given numbers is 2 x 3871 x 2847 = 22041474

Least Common Multiple of 7742,5694 with GCF Formula

Least Common Multiple of 7742,5694 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 7742,5694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7742,5694) = 2

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

GCF(7742,5694) x common factors =2 x 1 = 2

LCM(7742,5694) = ( 7742 × 5694 ) / 2

LCM(7742,5694) = 44082948 / 2

LCM(7742,5694) = 22041474


Lets's calculate GCF of 756,3766

2 756, 3766
7 378, 1883
54, 269

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22041474/14

Therefore the LCM of Fractions 7742/756,5694/3766 is 1574391

Greatest Common Factor of 756,3766 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,3766 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 3766

List of positive integer factors of 3766 that divides 3766 without a remainder.

1,2,7,14,269,538,1883,3766

Greatest Common Factor

We found the factors 756,3766 . The biggest common factor number is the GCF number.
So the greatest common factor 756,3766 is 14.


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 7742/756, 5694/3766

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 7742/756, 5694/3766?

Answer: LCM of Numerators as per given numbers 7742/756, 5694/3766 is

LCM of Numerators i.e. for 7742,5694 is 22041474

GCF of denominators i.e. for 756,3766 is 14.

Thus, LCM of Fractions is 1574391.Finally, LCM of Fractions for 7742/756, 5694/3766 is 1574391.