Least Common Multiple of 31/732, 114/301, 986/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/732, 114/301, 986/430 quickly i.e. 1742262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/732, 114/301, 986/430 is 1742262.

LCM(31/732, 114/301, 986/430) = 1742262

LCM of 31/732, 114/301, 986/430

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 31/732,114/301,986/430

Given numbers are 31/732,114/301,986/430

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 31,114,986

Least Common Multiple of Numerators i.e. LCM of 31,114,986 is 1742262.

GCF of Denominators means GCF of 732,301,430 as per the given fractions.

GCF of 732,301,430 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,114,986

LCM of Fractions 31/732,114/301,986/430 is 1742262

2 31, 114, 986
31, 57, 493

∴ So the LCM of the given numbers is 2 x 31 x 57 x 493 = 1742262

Least Common Multiple of 31,114,986 with GCF Formula

Least Common Multiple of 31,114,986 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 31,114,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,114,986) = 1

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

GCF(31,114,986) x common factors =1 x 2 = 2

LCM(31,114,986) = ( 31 × 114 × 986 ) / 2

LCM(31,114,986) = 3484524 / 2

LCM(31,114,986) = 1742262


Lets's calculate GCF of 732,301,430

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1742262/1

Therefore the LCM of Fractions 31/732,114/301,986/430 is 1742262

Greatest Common Factor of 732,301,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,301,430 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 732,301,430 . The biggest common factor number is the GCF number.
So the greatest common factor 732,301,430 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 31/732, 114/301, 986/430

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 31/732, 114/301, 986/430?

Answer: LCM of Numerators as per given numbers 31/732, 114/301, 986/430 is

LCM of Numerators i.e. for 31,114,986 is 1742262

GCF of denominators i.e. for 732,301,430 is 1.

Thus, LCM of Fractions is 1742262.Finally, LCM of Fractions for 31/732, 114/301, 986/430 is 1742262.