Least Common Multiple of 6058/690, 6746/7356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6058/690, 6746/7356 quickly i.e. 20433634/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6058/690, 6746/7356 is 20433634/6.

LCM(6058/690, 6746/7356) = 20433634/6

LCM of 6058/690, 6746/7356

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 6058/690,6746/7356

Given numbers are 6058/690,6746/7356

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 6058,6746

Least Common Multiple of Numerators i.e. LCM of 6058,6746 is 20433634.

GCF of Denominators means GCF of 690,7356 as per the given fractions.

GCF of 690,7356 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6058,6746

LCM of Fractions 6058/690,6746/7356 is 20433634/6

2 6058, 6746
3029, 3373

∴ So the LCM of the given numbers is 2 x 3029 x 3373 = 20433634

Least Common Multiple of 6058,6746 with GCF Formula

Least Common Multiple of 6058,6746 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 6058,6746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6058,6746) = 2

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

GCF(6058,6746) x common factors =2 x 1 = 2

LCM(6058,6746) = ( 6058 × 6746 ) / 2

LCM(6058,6746) = 40867268 / 2

LCM(6058,6746) = 20433634


Lets's calculate GCF of 690,7356

2 690, 7356
3 345, 3678
115, 1226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20433634/6

Therefore the LCM of Fractions 6058/690,6746/7356 is 20433634/6

Greatest Common Factor of 690,7356 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,7356 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 7356

List of positive integer factors of 7356 that divides 7356 without a remainder.

1,2,3,4,6,12,613,1226,1839,2452,3678,7356

Greatest Common Factor

We found the factors 690,7356 . The biggest common factor number is the GCF number.
So the greatest common factor 690,7356 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 6058/690, 6746/7356

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 6058/690, 6746/7356?

Answer: LCM of Numerators as per given numbers 6058/690, 6746/7356 is

LCM of Numerators i.e. for 6058,6746 is 20433634

GCF of denominators i.e. for 690,7356 is 6.

Thus, LCM of Fractions is 20433634/6.Finally, LCM of Fractions for 6058/690, 6746/7356 is 20433634/6.