Least Common Multiple of 487/31, 677/44, 271/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 487/31, 677/44, 271/694 quickly i.e. 89348429 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 487/31, 677/44, 271/694 is 89348429.

LCM(487/31, 677/44, 271/694) = 89348429

LCM of 487/31, 677/44, 271/694

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 487/31,677/44,271/694

Given numbers are 487/31,677/44,271/694

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 487,677,271

Least Common Multiple of Numerators i.e. LCM of 487,677,271 is 89348429.

GCF of Denominators means GCF of 31,44,694 as per the given fractions.

GCF of 31,44,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 487,677,271

LCM of Fractions 487/31,677/44,271/694 is 89348429

Given numbers has no common factors except 1. So, there LCM is their product i.e 89348429

Least Common Multiple of 487,677,271 with GCF Formula

Least Common Multiple of 487,677,271 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 487,677,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,677,271) = 1

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

GCF(487,677,271) x common factors =1 x 1 = 1

LCM(487,677,271) = ( 487 × 677 × 271 ) / 1

LCM(487,677,271) = 89348429 / 1

LCM(487,677,271) = 89348429


Lets's calculate GCF of 31,44,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89348429/1

Therefore the LCM of Fractions 487/31,677/44,271/694 is 89348429

Greatest Common Factor of 31,44,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,44,694 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 31,44,694 . The biggest common factor number is the GCF number.
So the greatest common factor 31,44,694 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 487/31, 677/44, 271/694

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 487/31, 677/44, 271/694?

Answer: LCM of Numerators as per given numbers 487/31, 677/44, 271/694 is

LCM of Numerators i.e. for 487,677,271 is 89348429

GCF of denominators i.e. for 31,44,694 is 1.

Thus, LCM of Fractions is 89348429.Finally, LCM of Fractions for 487/31, 677/44, 271/694 is 89348429.