Least Common Multiple of 8738/829, 6869/8726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8738/829, 6869/8726 quickly i.e. 60021322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8738/829, 6869/8726 is 60021322.

LCM(8738/829, 6869/8726) = 60021322

LCM of 8738/829, 6869/8726

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 8738/829,6869/8726

Given numbers are 8738/829,6869/8726

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 8738,6869

Least Common Multiple of Numerators i.e. LCM of 8738,6869 is 60021322.

GCF of Denominators means GCF of 829,8726 as per the given fractions.

GCF of 829,8726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8738,6869

LCM of Fractions 8738/829,6869/8726 is 60021322

Given numbers has no common factors except 1. So, there LCM is their product i.e 60021322

Least Common Multiple of 8738,6869 with GCF Formula

Least Common Multiple of 8738,6869 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 8738,6869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8738,6869) = 1

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

GCF(8738,6869) x common factors =1 x 1 = 1

LCM(8738,6869) = ( 8738 × 6869 ) / 1

LCM(8738,6869) = 60021322 / 1

LCM(8738,6869) = 60021322


Lets's calculate GCF of 829,8726

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60021322/1

Therefore the LCM of Fractions 8738/829,6869/8726 is 60021322

Greatest Common Factor of 829,8726 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,8726 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 8726

List of positive integer factors of 8726 that divides 8726 without a remainder.

1,2,4363,8726

Greatest Common Factor

We found the factors 829,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 829,8726 is 1.


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 8738/829, 6869/8726

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 8738/829, 6869/8726?

Answer: LCM of Numerators as per given numbers 8738/829, 6869/8726 is

LCM of Numerators i.e. for 8738,6869 is 60021322

GCF of denominators i.e. for 829,8726 is 1.

Thus, LCM of Fractions is 60021322.Finally, LCM of Fractions for 8738/829, 6869/8726 is 60021322.