Least Common Multiple of 31/530, 77/230, 841/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/530, 77/230, 841/297 quickly i.e. 2007467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/530, 77/230, 841/297 is 2007467.

LCM(31/530, 77/230, 841/297) = 2007467

LCM of 31/530, 77/230, 841/297

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 31/530,77/230,841/297

Given numbers are 31/530,77/230,841/297

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 31,77,841

Least Common Multiple of Numerators i.e. LCM of 31,77,841 is 2007467.

GCF of Denominators means GCF of 530,230,297 as per the given fractions.

GCF of 530,230,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,77,841

LCM of Fractions 31/530,77/230,841/297 is 2007467

Given numbers has no common factors except 1. So, there LCM is their product i.e 2007467

Least Common Multiple of 31,77,841 with GCF Formula

Least Common Multiple of 31,77,841 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 31,77,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,77,841) = 1

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

GCF(31,77,841) x common factors =1 x 1 = 1

LCM(31,77,841) = ( 31 × 77 × 841 ) / 1

LCM(31,77,841) = 2007467 / 1

LCM(31,77,841) = 2007467


Lets's calculate GCF of 530,230,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2007467/1

Therefore the LCM of Fractions 31/530,77/230,841/297 is 2007467

Greatest Common Factor of 530,230,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,230,297 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 530,230,297 . The biggest common factor number is the GCF number.
So the greatest common factor 530,230,297 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 31/530, 77/230, 841/297

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 31/530, 77/230, 841/297?

Answer: LCM of Numerators as per given numbers 31/530, 77/230, 841/297 is

LCM of Numerators i.e. for 31,77,841 is 2007467

GCF of denominators i.e. for 530,230,297 is 1.

Thus, LCM of Fractions is 2007467.Finally, LCM of Fractions for 31/530, 77/230, 841/297 is 2007467.