Least Common Multiple of 307/79, 460/45, 208/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/79, 460/45, 208/734 quickly i.e. 7343440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/79, 460/45, 208/734 is 7343440.

LCM(307/79, 460/45, 208/734) = 7343440

LCM of 307/79, 460/45, 208/734

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 307/79,460/45,208/734

Given numbers are 307/79,460/45,208/734

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 307,460,208

Least Common Multiple of Numerators i.e. LCM of 307,460,208 is 7343440.

GCF of Denominators means GCF of 79,45,734 as per the given fractions.

GCF of 79,45,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,460,208

LCM of Fractions 307/79,460/45,208/734 is 7343440

2 307, 460, 208
2 307, 230, 104
307, 115, 52

∴ So the LCM of the given numbers is 2 x 2 x 307 x 115 x 52 = 7343440

Least Common Multiple of 307,460,208 with GCF Formula

Least Common Multiple of 307,460,208 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 307,460,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,460,208) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(307,460,208) x common factors =1 x 4 = 4

LCM(307,460,208) = ( 307 × 460 × 208 ) / 4

LCM(307,460,208) = 29373760 / 4

LCM(307,460,208) = 7343440


Lets's calculate GCF of 79,45,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7343440/1

Therefore the LCM of Fractions 307/79,460/45,208/734 is 7343440

Greatest Common Factor of 79,45,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,45,734 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 79,45,734 . The biggest common factor number is the GCF number.
So the greatest common factor 79,45,734 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 307/79, 460/45, 208/734

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 307/79, 460/45, 208/734?

Answer: LCM of Numerators as per given numbers 307/79, 460/45, 208/734 is

LCM of Numerators i.e. for 307,460,208 is 7343440

GCF of denominators i.e. for 79,45,734 is 1.

Thus, LCM of Fractions is 7343440.Finally, LCM of Fractions for 307/79, 460/45, 208/734 is 7343440.