Least Common Multiple of 208/430, 7734/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/430, 7734/215 quickly i.e. 804336/215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/430, 7734/215 is 804336/215.

LCM(208/430, 7734/215) = 804336/215

LCM of 208/430, 7734/215

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 208/430,7734/215

Given numbers are 208/430,7734/215

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 208,7734

Least Common Multiple of Numerators i.e. LCM of 208,7734 is 804336.

GCF of Denominators means GCF of 430,215 as per the given fractions.

GCF of 430,215 is 215 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,7734

LCM of Fractions 208/430,7734/215 is 804336/215

2 208, 7734
104, 3867

∴ So the LCM of the given numbers is 2 x 104 x 3867 = 804336

Least Common Multiple of 208,7734 with GCF Formula

Least Common Multiple of 208,7734 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 208,7734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,7734) = 2

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

GCF(208,7734) x common factors =2 x 1 = 2

LCM(208,7734) = ( 208 × 7734 ) / 2

LCM(208,7734) = 1608672 / 2

LCM(208,7734) = 804336


Lets's calculate GCF of 430,215

5 430, 215
43 86, 43
2, 1

∴ So the GCF of the given numbers is 5 x 43 = 215

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804336/215

Therefore the LCM of Fractions 208/430,7734/215 is 804336/215

Greatest Common Factor of 430,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,215 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 430,215 . The biggest common factor number is the GCF number.
So the greatest common factor 430,215 is 215.


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 208/430, 7734/215

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 208/430, 7734/215?

Answer: LCM of Numerators as per given numbers 208/430, 7734/215 is

LCM of Numerators i.e. for 208,7734 is 804336

GCF of denominators i.e. for 430,215 is 215.

Thus, LCM of Fractions is 804336/215.Finally, LCM of Fractions for 208/430, 7734/215 is 804336/215.