Least Common Multiple of 680/84, 397/75, 475/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/84, 397/75, 475/649 quickly i.e. 25646200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/84, 397/75, 475/649 is 25646200.

LCM(680/84, 397/75, 475/649) = 25646200

LCM of 680/84, 397/75, 475/649

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 680/84,397/75,475/649

Given numbers are 680/84,397/75,475/649

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 680,397,475

Least Common Multiple of Numerators i.e. LCM of 680,397,475 is 25646200.

GCF of Denominators means GCF of 84,75,649 as per the given fractions.

GCF of 84,75,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,397,475

LCM of Fractions 680/84,397/75,475/649 is 25646200

5 680, 397, 475
136, 397, 95

∴ So the LCM of the given numbers is 5 x 136 x 397 x 95 = 25646200

Least Common Multiple of 680,397,475 with GCF Formula

Least Common Multiple of 680,397,475 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 680,397,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,397,475) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(680,397,475) x common factors =1 x 5 = 5

LCM(680,397,475) = ( 680 × 397 × 475 ) / 5

LCM(680,397,475) = 128231000 / 5

LCM(680,397,475) = 25646200


Lets's calculate GCF of 84,75,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25646200/1

Therefore the LCM of Fractions 680/84,397/75,475/649 is 25646200

Greatest Common Factor of 84,75,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,75,649 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 84,75,649 . The biggest common factor number is the GCF number.
So the greatest common factor 84,75,649 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 680/84, 397/75, 475/649

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 680/84, 397/75, 475/649?

Answer: LCM of Numerators as per given numbers 680/84, 397/75, 475/649 is

LCM of Numerators i.e. for 680,397,475 is 25646200

GCF of denominators i.e. for 84,75,649 is 1.

Thus, LCM of Fractions is 25646200.Finally, LCM of Fractions for 680/84, 397/75, 475/649 is 25646200.