Least Common Multiple of 683/772, 159/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/772, 159/353 quickly i.e. 108597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/772, 159/353 is 108597.

LCM(683/772, 159/353) = 108597

LCM of 683/772, 159/353

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 683/772,159/353

Given numbers are 683/772,159/353

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 683,159

Least Common Multiple of Numerators i.e. LCM of 683,159 is 108597.

GCF of Denominators means GCF of 772,353 as per the given fractions.

GCF of 772,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,159

LCM of Fractions 683/772,159/353 is 108597

Given numbers has no common factors except 1. So, there LCM is their product i.e 108597

Least Common Multiple of 683,159 with GCF Formula

Least Common Multiple of 683,159 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 683,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,159) = 1

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

GCF(683,159) x common factors =1 x 1 = 1

LCM(683,159) = ( 683 × 159 ) / 1

LCM(683,159) = 108597 / 1

LCM(683,159) = 108597


Lets's calculate GCF of 772,353

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108597/1

Therefore the LCM of Fractions 683/772,159/353 is 108597

Greatest Common Factor of 772,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,353 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 772,353 . The biggest common factor number is the GCF number.
So the greatest common factor 772,353 is 1.


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 683/772, 159/353

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 683/772, 159/353?

Answer: LCM of Numerators as per given numbers 683/772, 159/353 is

LCM of Numerators i.e. for 683,159 is 108597

GCF of denominators i.e. for 772,353 is 1.

Thus, LCM of Fractions is 108597.Finally, LCM of Fractions for 683/772, 159/353 is 108597.