Least Common Multiple of 687/28, 546/8404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/28, 546/8404 quickly i.e. 125034/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/28, 546/8404 is 125034/4.

LCM(687/28, 546/8404) = 125034/4

LCM of 687/28, 546/8404

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 687/28,546/8404

Given numbers are 687/28,546/8404

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 687,546

Least Common Multiple of Numerators i.e. LCM of 687,546 is 125034.

GCF of Denominators means GCF of 28,8404 as per the given fractions.

GCF of 28,8404 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,546

LCM of Fractions 687/28,546/8404 is 125034/4

3 687, 546
229, 182

∴ So the LCM of the given numbers is 3 x 229 x 182 = 125034

Least Common Multiple of 687,546 with GCF Formula

Least Common Multiple of 687,546 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 687,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,546) = 3

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

GCF(687,546) x common factors =3 x 1 = 3

LCM(687,546) = ( 687 × 546 ) / 3

LCM(687,546) = 375102 / 3

LCM(687,546) = 125034


Lets's calculate GCF of 28,8404

2 28, 8404
2 14, 4202
7, 2101

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125034/4

Therefore the LCM of Fractions 687/28,546/8404 is 125034/4

Greatest Common Factor of 28,8404 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,8404 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1,2,4,11,22,44,191,382,764,2101,4202,8404

Greatest Common Factor

We found the factors 28,8404 . The biggest common factor number is the GCF number.
So the greatest common factor 28,8404 is 4.


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 687/28, 546/8404

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 687/28, 546/8404?

Answer: LCM of Numerators as per given numbers 687/28, 546/8404 is

LCM of Numerators i.e. for 687,546 is 125034

GCF of denominators i.e. for 28,8404 is 4.

Thus, LCM of Fractions is 125034/4.Finally, LCM of Fractions for 687/28, 546/8404 is 125034/4.