Least Common Multiple of 87/491, 14/829, 385/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/491, 14/829, 385/643 quickly i.e. 66990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/491, 14/829, 385/643 is 66990.

LCM(87/491, 14/829, 385/643) = 66990

LCM of 87/491, 14/829, 385/643

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 87/491,14/829,385/643

Given numbers are 87/491,14/829,385/643

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 87,14,385

Least Common Multiple of Numerators i.e. LCM of 87,14,385 is 66990.

GCF of Denominators means GCF of 491,829,643 as per the given fractions.

GCF of 491,829,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,14,385

LCM of Fractions 87/491,14/829,385/643 is 66990

7 87, 14, 385
87, 2, 55

∴ So the LCM of the given numbers is 7 x 87 x 2 x 55 = 66990

Least Common Multiple of 87,14,385 with GCF Formula

Least Common Multiple of 87,14,385 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 87,14,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,14,385) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(87,14,385) x common factors =1 x 7 = 7

LCM(87,14,385) = ( 87 × 14 × 385 ) / 7

LCM(87,14,385) = 468930 / 7

LCM(87,14,385) = 66990


Lets's calculate GCF of 491,829,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66990/1

Therefore the LCM of Fractions 87/491,14/829,385/643 is 66990

Greatest Common Factor of 491,829,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,829,643 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 491,829,643 . The biggest common factor number is the GCF number.
So the greatest common factor 491,829,643 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 87/491, 14/829, 385/643

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 87/491, 14/829, 385/643?

Answer: LCM of Numerators as per given numbers 87/491, 14/829, 385/643 is

LCM of Numerators i.e. for 87,14,385 is 66990

GCF of denominators i.e. for 491,829,643 is 1.

Thus, LCM of Fractions is 66990.Finally, LCM of Fractions for 87/491, 14/829, 385/643 is 66990.