Least Common Multiple of 408/680, 315/897, 739/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/680, 315/897, 739/646 quickly i.e. 31658760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/680, 315/897, 739/646 is 31658760.

LCM(408/680, 315/897, 739/646) = 31658760

LCM of 408/680, 315/897, 739/646

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 408/680,315/897,739/646

Given numbers are 408/680,315/897,739/646

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 408,315,739

Least Common Multiple of Numerators i.e. LCM of 408,315,739 is 31658760.

GCF of Denominators means GCF of 680,897,646 as per the given fractions.

GCF of 680,897,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,315,739

LCM of Fractions 408/680,315/897,739/646 is 31658760

3 408, 315, 739
136, 105, 739

∴ So the LCM of the given numbers is 3 x 136 x 105 x 739 = 31658760

Least Common Multiple of 408,315,739 with GCF Formula

Least Common Multiple of 408,315,739 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 408,315,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,315,739) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(408,315,739) x common factors =1 x 3 = 3

LCM(408,315,739) = ( 408 × 315 × 739 ) / 3

LCM(408,315,739) = 94976280 / 3

LCM(408,315,739) = 31658760


Lets's calculate GCF of 680,897,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31658760/1

Therefore the LCM of Fractions 408/680,315/897,739/646 is 31658760

Greatest Common Factor of 680,897,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,897,646 By Matching Biggest Common Factor Method

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

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 680,897,646 . The biggest common factor number is the GCF number.
So the greatest common factor 680,897,646 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 408/680, 315/897, 739/646

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 408/680, 315/897, 739/646?

Answer: LCM of Numerators as per given numbers 408/680, 315/897, 739/646 is

LCM of Numerators i.e. for 408,315,739 is 31658760

GCF of denominators i.e. for 680,897,646 is 1.

Thus, LCM of Fractions is 31658760.Finally, LCM of Fractions for 408/680, 315/897, 739/646 is 31658760.