Least Common Multiple of 6738/748, 1619/6138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6738/748, 1619/6138 quickly i.e. 10908822/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6738/748, 1619/6138 is 10908822/22.

LCM(6738/748, 1619/6138) = 10908822/22

LCM of 6738/748, 1619/6138

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 6738/748,1619/6138

Given numbers are 6738/748,1619/6138

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 6738,1619

Least Common Multiple of Numerators i.e. LCM of 6738,1619 is 10908822.

GCF of Denominators means GCF of 748,6138 as per the given fractions.

GCF of 748,6138 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6738,1619

LCM of Fractions 6738/748,1619/6138 is 10908822/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 10908822

Least Common Multiple of 6738,1619 with GCF Formula

Least Common Multiple of 6738,1619 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 6738,1619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6738,1619) = 1

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

GCF(6738,1619) x common factors =1 x 1 = 1

LCM(6738,1619) = ( 6738 × 1619 ) / 1

LCM(6738,1619) = 10908822 / 1

LCM(6738,1619) = 10908822


Lets's calculate GCF of 748,6138

2 748, 6138
11 374, 3069
34, 279

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10908822/22

Therefore the LCM of Fractions 6738/748,1619/6138 is 10908822/22

Greatest Common Factor of 748,6138 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,6138 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138

Greatest Common Factor

We found the factors 748,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 748,6138 is 22.


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 6738/748, 1619/6138

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 6738/748, 1619/6138?

Answer: LCM of Numerators as per given numbers 6738/748, 1619/6138 is

LCM of Numerators i.e. for 6738,1619 is 10908822

GCF of denominators i.e. for 748,6138 is 22.

Thus, LCM of Fractions is 10908822/22.Finally, LCM of Fractions for 6738/748, 1619/6138 is 10908822/22.