Least Common Multiple of 31/490, 9474/3529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/490, 9474/3529 quickly i.e. 293694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/490, 9474/3529 is 293694.

LCM(31/490, 9474/3529) = 293694

LCM of 31/490, 9474/3529

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 31/490,9474/3529

Given numbers are 31/490,9474/3529

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 31,9474

Least Common Multiple of Numerators i.e. LCM of 31,9474 is 293694.

GCF of Denominators means GCF of 490,3529 as per the given fractions.

GCF of 490,3529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,9474

LCM of Fractions 31/490,9474/3529 is 293694

Given numbers has no common factors except 1. So, there LCM is their product i.e 293694

Least Common Multiple of 31,9474 with GCF Formula

Least Common Multiple of 31,9474 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 31,9474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,9474) = 1

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

GCF(31,9474) x common factors =1 x 1 = 1

LCM(31,9474) = ( 31 × 9474 ) / 1

LCM(31,9474) = 293694 / 1

LCM(31,9474) = 293694


Lets's calculate GCF of 490,3529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293694/1

Therefore the LCM of Fractions 31/490,9474/3529 is 293694

Greatest Common Factor of 490,3529 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,3529 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 3529

List of positive integer factors of 3529 that divides 3529 without a remainder.

1,3529

Greatest Common Factor

We found the factors 490,3529 . The biggest common factor number is the GCF number.
So the greatest common factor 490,3529 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 31/490, 9474/3529

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 31/490, 9474/3529?

Answer: LCM of Numerators as per given numbers 31/490, 9474/3529 is

LCM of Numerators i.e. for 31,9474 is 293694

GCF of denominators i.e. for 490,3529 is 1.

Thus, LCM of Fractions is 293694.Finally, LCM of Fractions for 31/490, 9474/3529 is 293694.