Least Common Multiple of 89/783, 6715/8352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/783, 6715/8352 quickly i.e. 597635/261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/783, 6715/8352 is 597635/261.

LCM(89/783, 6715/8352) = 597635/261

LCM of 89/783, 6715/8352

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 89/783,6715/8352

Given numbers are 89/783,6715/8352

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 89,6715

Least Common Multiple of Numerators i.e. LCM of 89,6715 is 597635.

GCF of Denominators means GCF of 783,8352 as per the given fractions.

GCF of 783,8352 is 261 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,6715

LCM of Fractions 89/783,6715/8352 is 597635/261

Given numbers has no common factors except 1. So, there LCM is their product i.e 597635

Least Common Multiple of 89,6715 with GCF Formula

Least Common Multiple of 89,6715 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 89,6715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,6715) = 1

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

GCF(89,6715) x common factors =1 x 1 = 1

LCM(89,6715) = ( 89 × 6715 ) / 1

LCM(89,6715) = 597635 / 1

LCM(89,6715) = 597635


Lets's calculate GCF of 783,8352

3 783, 8352
3 261, 2784
29 87, 928
3, 32

∴ So the GCF of the given numbers is 3 x 3 x 29 = 261

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 597635/261

Therefore the LCM of Fractions 89/783,6715/8352 is 597635/261

Greatest Common Factor of 783,8352 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,8352 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352

Greatest Common Factor

We found the factors 783,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 783,8352 is 261.


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 89/783, 6715/8352

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 89/783, 6715/8352?

Answer: LCM of Numerators as per given numbers 89/783, 6715/8352 is

LCM of Numerators i.e. for 89,6715 is 597635

GCF of denominators i.e. for 783,8352 is 261.

Thus, LCM of Fractions is 597635/261.Finally, LCM of Fractions for 89/783, 6715/8352 is 597635/261.