Least Common Multiple of 671/65, 760/42, 187/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 671/65, 760/42, 187/382 quickly i.e. 8669320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 671/65, 760/42, 187/382 is 8669320.

LCM(671/65, 760/42, 187/382) = 8669320

LCM of 671/65, 760/42, 187/382

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 671/65,760/42,187/382

Given numbers are 671/65,760/42,187/382

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 671,760,187

Least Common Multiple of Numerators i.e. LCM of 671,760,187 is 8669320.

GCF of Denominators means GCF of 65,42,382 as per the given fractions.

GCF of 65,42,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 671,760,187

LCM of Fractions 671/65,760/42,187/382 is 8669320

11 671, 760, 187
61, 760, 17

∴ So the LCM of the given numbers is 11 x 61 x 760 x 17 = 8669320

Least Common Multiple of 671,760,187 with GCF Formula

Least Common Multiple of 671,760,187 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 671,760,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,760,187) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(671,760,187) x common factors =1 x 11 = 11

LCM(671,760,187) = ( 671 × 760 × 187 ) / 11

LCM(671,760,187) = 95362520 / 11

LCM(671,760,187) = 8669320


Lets's calculate GCF of 65,42,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8669320/1

Therefore the LCM of Fractions 671/65,760/42,187/382 is 8669320

Greatest Common Factor of 65,42,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,42,382 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 382

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

1,2,191,382

Greatest Common Factor

We found the factors 65,42,382 . The biggest common factor number is the GCF number.
So the greatest common factor 65,42,382 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 671/65, 760/42, 187/382

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 671/65, 760/42, 187/382?

Answer: LCM of Numerators as per given numbers 671/65, 760/42, 187/382 is

LCM of Numerators i.e. for 671,760,187 is 8669320

GCF of denominators i.e. for 65,42,382 is 1.

Thus, LCM of Fractions is 8669320.Finally, LCM of Fractions for 671/65, 760/42, 187/382 is 8669320.