Least Common Multiple of 969/500, 5633/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/500, 5633/680 quickly i.e. 5458377/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/500, 5633/680 is 5458377/20.

LCM(969/500, 5633/680) = 5458377/20

LCM of 969/500, 5633/680

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 969/500,5633/680

Given numbers are 969/500,5633/680

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 969,5633

Least Common Multiple of Numerators i.e. LCM of 969,5633 is 5458377.

GCF of Denominators means GCF of 500,680 as per the given fractions.

GCF of 500,680 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,5633

LCM of Fractions 969/500,5633/680 is 5458377/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 5458377

Least Common Multiple of 969,5633 with GCF Formula

Least Common Multiple of 969,5633 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 969,5633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,5633) = 1

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

GCF(969,5633) x common factors =1 x 1 = 1

LCM(969,5633) = ( 969 × 5633 ) / 1

LCM(969,5633) = 5458377 / 1

LCM(969,5633) = 5458377


Lets's calculate GCF of 500,680

2 500, 680
2 250, 340
5 125, 170
25, 34

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5458377/20

Therefore the LCM of Fractions 969/500,5633/680 is 5458377/20

Greatest Common Factor of 500,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,680 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 500,680 . The biggest common factor number is the GCF number.
So the greatest common factor 500,680 is 20.


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 969/500, 5633/680

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 969/500, 5633/680?

Answer: LCM of Numerators as per given numbers 969/500, 5633/680 is

LCM of Numerators i.e. for 969,5633 is 5458377

GCF of denominators i.e. for 500,680 is 20.

Thus, LCM of Fractions is 5458377/20.Finally, LCM of Fractions for 969/500, 5633/680 is 5458377/20.