Least Common Multiple of 7834/654, 8042/6681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7834/654, 8042/6681 quickly i.e. 31500514/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7834/654, 8042/6681 is 31500514/3.

LCM(7834/654, 8042/6681) = 31500514/3

LCM of 7834/654, 8042/6681

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 7834/654,8042/6681

Given numbers are 7834/654,8042/6681

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 7834,8042

Least Common Multiple of Numerators i.e. LCM of 7834,8042 is 31500514.

GCF of Denominators means GCF of 654,6681 as per the given fractions.

GCF of 654,6681 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7834,8042

LCM of Fractions 7834/654,8042/6681 is 31500514/3

2 7834, 8042
3917, 4021

∴ So the LCM of the given numbers is 2 x 3917 x 4021 = 31500514

Least Common Multiple of 7834,8042 with GCF Formula

Least Common Multiple of 7834,8042 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 7834,8042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7834,8042) = 2

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

GCF(7834,8042) x common factors =2 x 1 = 2

LCM(7834,8042) = ( 7834 × 8042 ) / 2

LCM(7834,8042) = 63001028 / 2

LCM(7834,8042) = 31500514


Lets's calculate GCF of 654,6681

3 654, 6681
218, 2227

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31500514/3

Therefore the LCM of Fractions 7834/654,8042/6681 is 31500514/3

Greatest Common Factor of 654,6681 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,6681 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 6681

List of positive integer factors of 6681 that divides 6681 without a remainder.

1,3,17,51,131,393,2227,6681

Greatest Common Factor

We found the factors 654,6681 . The biggest common factor number is the GCF number.
So the greatest common factor 654,6681 is 3.


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 7834/654, 8042/6681

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 7834/654, 8042/6681?

Answer: LCM of Numerators as per given numbers 7834/654, 8042/6681 is

LCM of Numerators i.e. for 7834,8042 is 31500514

GCF of denominators i.e. for 654,6681 is 3.

Thus, LCM of Fractions is 31500514/3.Finally, LCM of Fractions for 7834/654, 8042/6681 is 31500514/3.