Least Common Multiple of 6746/357, 3741/7582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6746/357, 3741/7582 quickly i.e. 25236786/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6746/357, 3741/7582 is 25236786/17.

LCM(6746/357, 3741/7582) = 25236786/17

LCM of 6746/357, 3741/7582

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 6746/357,3741/7582

Given numbers are 6746/357,3741/7582

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 6746,3741

Least Common Multiple of Numerators i.e. LCM of 6746,3741 is 25236786.

GCF of Denominators means GCF of 357,7582 as per the given fractions.

GCF of 357,7582 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6746,3741

LCM of Fractions 6746/357,3741/7582 is 25236786/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 25236786

Least Common Multiple of 6746,3741 with GCF Formula

Least Common Multiple of 6746,3741 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 6746,3741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6746,3741) = 1

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

GCF(6746,3741) x common factors =1 x 1 = 1

LCM(6746,3741) = ( 6746 × 3741 ) / 1

LCM(6746,3741) = 25236786 / 1

LCM(6746,3741) = 25236786


Lets's calculate GCF of 357,7582

17 357, 7582
21, 446

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25236786/17

Therefore the LCM of Fractions 6746/357,3741/7582 is 25236786/17

Greatest Common Factor of 357,7582 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,7582 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 7582

List of positive integer factors of 7582 that divides 7582 without a remainder.

1,2,17,34,223,446,3791,7582

Greatest Common Factor

We found the factors 357,7582 . The biggest common factor number is the GCF number.
So the greatest common factor 357,7582 is 17.


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 6746/357, 3741/7582

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 6746/357, 3741/7582?

Answer: LCM of Numerators as per given numbers 6746/357, 3741/7582 is

LCM of Numerators i.e. for 6746,3741 is 25236786

GCF of denominators i.e. for 357,7582 is 17.

Thus, LCM of Fractions is 25236786/17.Finally, LCM of Fractions for 6746/357, 3741/7582 is 25236786/17.