Least Common Multiple of 672/819, 8975/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 672/819, 8975/702 quickly i.e. 6031200/117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/819, 8975/702 is 6031200/117.

LCM(672/819, 8975/702) = 6031200/117

LCM of 672/819, 8975/702

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 672/819,8975/702

Given numbers are 672/819,8975/702

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 672,8975

Least Common Multiple of Numerators i.e. LCM of 672,8975 is 6031200.

GCF of Denominators means GCF of 819,702 as per the given fractions.

GCF of 819,702 is 117 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,8975

LCM of Fractions 672/819,8975/702 is 6031200/117

Given numbers has no common factors except 1. So, there LCM is their product i.e 6031200

Least Common Multiple of 672,8975 with GCF Formula

Least Common Multiple of 672,8975 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 672,8975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,8975) = 1

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

GCF(672,8975) x common factors =1 x 1 = 1

LCM(672,8975) = ( 672 × 8975 ) / 1

LCM(672,8975) = 6031200 / 1

LCM(672,8975) = 6031200


Lets's calculate GCF of 819,702

3 819, 702
3 273, 234
13 91, 78
7, 6

∴ So the GCF of the given numbers is 3 x 3 x 13 = 117

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6031200/117

Therefore the LCM of Fractions 672/819,8975/702 is 6031200/117

Greatest Common Factor of 819,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,702 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 819,702 . The biggest common factor number is the GCF number.
So the greatest common factor 819,702 is 117.


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 672/819, 8975/702

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 672/819, 8975/702?

Answer: LCM of Numerators as per given numbers 672/819, 8975/702 is

LCM of Numerators i.e. for 672,8975 is 6031200

GCF of denominators i.e. for 819,702 is 117.

Thus, LCM of Fractions is 6031200/117.Finally, LCM of Fractions for 672/819, 8975/702 is 6031200/117.