Least Common Multiple of 687/382, 9672/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/382, 9672/610 quickly i.e. 1107444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/382, 9672/610 is 1107444.

LCM(687/382, 9672/610) = 1107444

LCM of 687/382, 9672/610

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 687/382,9672/610

Given numbers are 687/382,9672/610

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 687,9672

Least Common Multiple of Numerators i.e. LCM of 687,9672 is 2214888.

GCF of Denominators means GCF of 382,610 as per the given fractions.

GCF of 382,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,9672

LCM of Fractions 687/382,9672/610 is 1107444

3 687, 9672
229, 3224

∴ So the LCM of the given numbers is 3 x 229 x 3224 = 2214888

Least Common Multiple of 687,9672 with GCF Formula

Least Common Multiple of 687,9672 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 687,9672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,9672) = 3

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

GCF(687,9672) x common factors =3 x 1 = 3

LCM(687,9672) = ( 687 × 9672 ) / 3

LCM(687,9672) = 6644664 / 3

LCM(687,9672) = 2214888


Lets's calculate GCF of 382,610

2 382, 610
191, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2214888/2

Therefore the LCM of Fractions 687/382,9672/610 is 1107444

Greatest Common Factor of 382,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,610 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 382,610 . The biggest common factor number is the GCF number.
So the greatest common factor 382,610 is 2.


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 687/382, 9672/610

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 687/382, 9672/610?

Answer: LCM of Numerators as per given numbers 687/382, 9672/610 is

LCM of Numerators i.e. for 687,9672 is 2214888

GCF of denominators i.e. for 382,610 is 2.

Thus, LCM of Fractions is 1107444.Finally, LCM of Fractions for 687/382, 9672/610 is 1107444.