Least Common Multiple of 31/343, 945/337, 829/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/343, 945/337, 829/648 quickly i.e. 24285555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/343, 945/337, 829/648 is 24285555.

LCM(31/343, 945/337, 829/648) = 24285555

LCM of 31/343, 945/337, 829/648

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 31/343,945/337,829/648

Given numbers are 31/343,945/337,829/648

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 31,945,829

Least Common Multiple of Numerators i.e. LCM of 31,945,829 is 24285555.

GCF of Denominators means GCF of 343,337,648 as per the given fractions.

GCF of 343,337,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,945,829

LCM of Fractions 31/343,945/337,829/648 is 24285555

Given numbers has no common factors except 1. So, there LCM is their product i.e 24285555

Least Common Multiple of 31,945,829 with GCF Formula

Least Common Multiple of 31,945,829 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 31,945,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,945,829) = 1

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

GCF(31,945,829) x common factors =1 x 1 = 1

LCM(31,945,829) = ( 31 × 945 × 829 ) / 1

LCM(31,945,829) = 24285555 / 1

LCM(31,945,829) = 24285555


Lets's calculate GCF of 343,337,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24285555/1

Therefore the LCM of Fractions 31/343,945/337,829/648 is 24285555

Greatest Common Factor of 343,337,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,337,648 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 343,337,648 . The biggest common factor number is the GCF number.
So the greatest common factor 343,337,648 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 31/343, 945/337, 829/648

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 31/343, 945/337, 829/648?

Answer: LCM of Numerators as per given numbers 31/343, 945/337, 829/648 is

LCM of Numerators i.e. for 31,945,829 is 24285555

GCF of denominators i.e. for 343,337,648 is 1.

Thus, LCM of Fractions is 24285555.Finally, LCM of Fractions for 31/343, 945/337, 829/648 is 24285555.