Least Common Multiple of 31/570, 784/363, 634/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/570, 784/363, 634/469 quickly i.e. 7704368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/570, 784/363, 634/469 is 7704368.

LCM(31/570, 784/363, 634/469) = 7704368

LCM of 31/570, 784/363, 634/469

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 31/570,784/363,634/469

Given numbers are 31/570,784/363,634/469

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 31,784,634

Least Common Multiple of Numerators i.e. LCM of 31,784,634 is 7704368.

GCF of Denominators means GCF of 570,363,469 as per the given fractions.

GCF of 570,363,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,784,634

LCM of Fractions 31/570,784/363,634/469 is 7704368

2 31, 784, 634
31, 392, 317

∴ So the LCM of the given numbers is 2 x 31 x 392 x 317 = 7704368

Least Common Multiple of 31,784,634 with GCF Formula

Least Common Multiple of 31,784,634 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 31,784,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,784,634) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,784,634) x common factors =1 x 2 = 2

LCM(31,784,634) = ( 31 × 784 × 634 ) / 2

LCM(31,784,634) = 15408736 / 2

LCM(31,784,634) = 7704368


Lets's calculate GCF of 570,363,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7704368/1

Therefore the LCM of Fractions 31/570,784/363,634/469 is 7704368

Greatest Common Factor of 570,363,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,363,469 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 570,363,469 . The biggest common factor number is the GCF number.
So the greatest common factor 570,363,469 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 31/570, 784/363, 634/469

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 31/570, 784/363, 634/469?

Answer: LCM of Numerators as per given numbers 31/570, 784/363, 634/469 is

LCM of Numerators i.e. for 31,784,634 is 7704368

GCF of denominators i.e. for 570,363,469 is 1.

Thus, LCM of Fractions is 7704368.Finally, LCM of Fractions for 31/570, 784/363, 634/469 is 7704368.