Least Common Multiple of 843/560, 1151/8714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/560, 1151/8714 quickly i.e. 970293/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/560, 1151/8714 is 970293/2.

LCM(843/560, 1151/8714) = 970293/2

LCM of 843/560, 1151/8714

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 843/560,1151/8714

Given numbers are 843/560,1151/8714

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 843,1151

Least Common Multiple of Numerators i.e. LCM of 843,1151 is 970293.

GCF of Denominators means GCF of 560,8714 as per the given fractions.

GCF of 560,8714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,1151

LCM of Fractions 843/560,1151/8714 is 970293/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 970293

Least Common Multiple of 843,1151 with GCF Formula

Least Common Multiple of 843,1151 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 843,1151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,1151) = 1

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

GCF(843,1151) x common factors =1 x 1 = 1

LCM(843,1151) = ( 843 × 1151 ) / 1

LCM(843,1151) = 970293 / 1

LCM(843,1151) = 970293


Lets's calculate GCF of 560,8714

2 560, 8714
280, 4357

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 970293/2

Therefore the LCM of Fractions 843/560,1151/8714 is 970293/2

Greatest Common Factor of 560,8714 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,8714 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1,2,4357,8714

Greatest Common Factor

We found the factors 560,8714 . The biggest common factor number is the GCF number.
So the greatest common factor 560,8714 is 2.


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 843/560, 1151/8714

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 843/560, 1151/8714?

Answer: LCM of Numerators as per given numbers 843/560, 1151/8714 is

LCM of Numerators i.e. for 843,1151 is 970293

GCF of denominators i.e. for 560,8714 is 2.

Thus, LCM of Fractions is 970293/2.Finally, LCM of Fractions for 843/560, 1151/8714 is 970293/2.