Least Common Multiple of 34/651, 31/631, 359/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/651, 31/631, 359/586 quickly i.e. 378386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/651, 31/631, 359/586 is 378386.

LCM(34/651, 31/631, 359/586) = 378386

LCM of 34/651, 31/631, 359/586

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 34/651,31/631,359/586

Given numbers are 34/651,31/631,359/586

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 34,31,359

Least Common Multiple of Numerators i.e. LCM of 34,31,359 is 378386.

GCF of Denominators means GCF of 651,631,586 as per the given fractions.

GCF of 651,631,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,31,359

LCM of Fractions 34/651,31/631,359/586 is 378386

Given numbers has no common factors except 1. So, there LCM is their product i.e 378386

Least Common Multiple of 34,31,359 with GCF Formula

Least Common Multiple of 34,31,359 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 34,31,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,31,359) = 1

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

GCF(34,31,359) x common factors =1 x 1 = 1

LCM(34,31,359) = ( 34 × 31 × 359 ) / 1

LCM(34,31,359) = 378386 / 1

LCM(34,31,359) = 378386


Lets's calculate GCF of 651,631,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378386/1

Therefore the LCM of Fractions 34/651,31/631,359/586 is 378386

Greatest Common Factor of 651,631,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,631,586 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 651,631,586 . The biggest common factor number is the GCF number.
So the greatest common factor 651,631,586 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 34/651, 31/631, 359/586

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 34/651, 31/631, 359/586?

Answer: LCM of Numerators as per given numbers 34/651, 31/631, 359/586 is

LCM of Numerators i.e. for 34,31,359 is 378386

GCF of denominators i.e. for 651,631,586 is 1.

Thus, LCM of Fractions is 378386.Finally, LCM of Fractions for 34/651, 31/631, 359/586 is 378386.