Least Common Multiple of 8701/231, 8028/7141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8701/231, 8028/7141 quickly i.e. 69851628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8701/231, 8028/7141 is 69851628.

LCM(8701/231, 8028/7141) = 69851628

LCM of 8701/231, 8028/7141

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 8701/231,8028/7141

Given numbers are 8701/231,8028/7141

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 8701,8028

Least Common Multiple of Numerators i.e. LCM of 8701,8028 is 69851628.

GCF of Denominators means GCF of 231,7141 as per the given fractions.

GCF of 231,7141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8701,8028

LCM of Fractions 8701/231,8028/7141 is 69851628

Given numbers has no common factors except 1. So, there LCM is their product i.e 69851628

Least Common Multiple of 8701,8028 with GCF Formula

Least Common Multiple of 8701,8028 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 8701,8028 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8701,8028) = 1

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

GCF(8701,8028) x common factors =1 x 1 = 1

LCM(8701,8028) = ( 8701 × 8028 ) / 1

LCM(8701,8028) = 69851628 / 1

LCM(8701,8028) = 69851628


Lets's calculate GCF of 231,7141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69851628/1

Therefore the LCM of Fractions 8701/231,8028/7141 is 69851628

Greatest Common Factor of 231,7141 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,7141 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 7141

List of positive integer factors of 7141 that divides 7141 without a remainder.

1,37,193,7141

Greatest Common Factor

We found the factors 231,7141 . The biggest common factor number is the GCF number.
So the greatest common factor 231,7141 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 8701/231, 8028/7141

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 8701/231, 8028/7141?

Answer: LCM of Numerators as per given numbers 8701/231, 8028/7141 is

LCM of Numerators i.e. for 8701,8028 is 69851628

GCF of denominators i.e. for 231,7141 is 1.

Thus, LCM of Fractions is 69851628.Finally, LCM of Fractions for 8701/231, 8028/7141 is 69851628.