Least Common Multiple of 8530/843, 7705/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8530/843, 7705/690 quickly i.e. 13144730/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8530/843, 7705/690 is 13144730/3.

LCM(8530/843, 7705/690) = 13144730/3

LCM of 8530/843, 7705/690

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 8530/843,7705/690

Given numbers are 8530/843,7705/690

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 8530,7705

Least Common Multiple of Numerators i.e. LCM of 8530,7705 is 13144730.

GCF of Denominators means GCF of 843,690 as per the given fractions.

GCF of 843,690 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8530,7705

LCM of Fractions 8530/843,7705/690 is 13144730/3

5 8530, 7705
1706, 1541

∴ So the LCM of the given numbers is 5 x 1706 x 1541 = 13144730

Least Common Multiple of 8530,7705 with GCF Formula

Least Common Multiple of 8530,7705 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 8530,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8530,7705) = 5

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

GCF(8530,7705) x common factors =5 x 1 = 5

LCM(8530,7705) = ( 8530 × 7705 ) / 5

LCM(8530,7705) = 65723650 / 5

LCM(8530,7705) = 13144730


Lets's calculate GCF of 843,690

3 843, 690
281, 230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13144730/3

Therefore the LCM of Fractions 8530/843,7705/690 is 13144730/3

Greatest Common Factor of 843,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,690 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 843,690 . The biggest common factor number is the GCF number.
So the greatest common factor 843,690 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 8530/843, 7705/690

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 8530/843, 7705/690?

Answer: LCM of Numerators as per given numbers 8530/843, 7705/690 is

LCM of Numerators i.e. for 8530,7705 is 13144730

GCF of denominators i.e. for 843,690 is 3.

Thus, LCM of Fractions is 13144730/3.Finally, LCM of Fractions for 8530/843, 7705/690 is 13144730/3.