Least Common Multiple of 679/17, 764/13, 430/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/17, 764/13, 430/196 quickly i.e. 111532540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/17, 764/13, 430/196 is 111532540.

LCM(679/17, 764/13, 430/196) = 111532540

LCM of 679/17, 764/13, 430/196

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 679/17,764/13,430/196

Given numbers are 679/17,764/13,430/196

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 679,764,430

Least Common Multiple of Numerators i.e. LCM of 679,764,430 is 111532540.

GCF of Denominators means GCF of 17,13,196 as per the given fractions.

GCF of 17,13,196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,764,430

LCM of Fractions 679/17,764/13,430/196 is 111532540

2 679, 764, 430
679, 382, 215

∴ So the LCM of the given numbers is 2 x 679 x 382 x 215 = 111532540

Least Common Multiple of 679,764,430 with GCF Formula

Least Common Multiple of 679,764,430 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 679,764,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,764,430) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(679,764,430) x common factors =1 x 2 = 2

LCM(679,764,430) = ( 679 × 764 × 430 ) / 2

LCM(679,764,430) = 223065080 / 2

LCM(679,764,430) = 111532540


Lets's calculate GCF of 17,13,196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111532540/1

Therefore the LCM of Fractions 679/17,764/13,430/196 is 111532540

Greatest Common Factor of 17,13,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,13,196 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 17,13,196 . The biggest common factor number is the GCF number.
So the greatest common factor 17,13,196 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 679/17, 764/13, 430/196

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 679/17, 764/13, 430/196?

Answer: LCM of Numerators as per given numbers 679/17, 764/13, 430/196 is

LCM of Numerators i.e. for 679,764,430 is 111532540

GCF of denominators i.e. for 17,13,196 is 1.

Thus, LCM of Fractions is 111532540.Finally, LCM of Fractions for 679/17, 764/13, 430/196 is 111532540.