Least Common Multiple of 31/417, 73/194, 351/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/417, 73/194, 351/649 quickly i.e. 794313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/417, 73/194, 351/649 is 794313.

LCM(31/417, 73/194, 351/649) = 794313

LCM of 31/417, 73/194, 351/649

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 31/417,73/194,351/649

Given numbers are 31/417,73/194,351/649

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 31,73,351

Least Common Multiple of Numerators i.e. LCM of 31,73,351 is 794313.

GCF of Denominators means GCF of 417,194,649 as per the given fractions.

GCF of 417,194,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,73,351

LCM of Fractions 31/417,73/194,351/649 is 794313

Given numbers has no common factors except 1. So, there LCM is their product i.e 794313

Least Common Multiple of 31,73,351 with GCF Formula

Least Common Multiple of 31,73,351 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 31,73,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,73,351) = 1

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

GCF(31,73,351) x common factors =1 x 1 = 1

LCM(31,73,351) = ( 31 × 73 × 351 ) / 1

LCM(31,73,351) = 794313 / 1

LCM(31,73,351) = 794313


Lets's calculate GCF of 417,194,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 794313/1

Therefore the LCM of Fractions 31/417,73/194,351/649 is 794313

Greatest Common Factor of 417,194,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,194,649 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 417,194,649 . The biggest common factor number is the GCF number.
So the greatest common factor 417,194,649 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 31/417, 73/194, 351/649

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 31/417, 73/194, 351/649?

Answer: LCM of Numerators as per given numbers 31/417, 73/194, 351/649 is

LCM of Numerators i.e. for 31,73,351 is 794313

GCF of denominators i.e. for 417,194,649 is 1.

Thus, LCM of Fractions is 794313.Finally, LCM of Fractions for 31/417, 73/194, 351/649 is 794313.