Least Common Multiple of 19/34, 86/51, 57/31, 343/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/34, 86/51, 57/31, 343/79 quickly i.e. 1681386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/34, 86/51, 57/31, 343/79 is 1681386.

LCM(19/34, 86/51, 57/31, 343/79) = 1681386

LCM of 19/34, 86/51, 57/31, 343/79

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 19/34,86/51,57/31,343/79

Given numbers are 19/34,86/51,57/31,343/79

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 19,86,57,343

Least Common Multiple of Numerators i.e. LCM of 19,86,57,343 is 1681386.

GCF of Denominators means GCF of 34,51,31,79 as per the given fractions.

GCF of 34,51,31,79 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,86,57,343

LCM of Fractions 19/34,86/51,57/31,343/79 is 1681386

19 19, 86, 57, 343
1, 86, 3, 343

∴ So the LCM of the given numbers is 19 x 1 x 86 x 3 x 343 = 1681386

Least Common Multiple of 19,86,57,343 with GCF Formula

Least Common Multiple of 19,86,57,343 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 19,86,57,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,86,57,343) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,86,57,343) x common factors =1 x 19 = 19

LCM(19,86,57,343) = ( 19 × 86 × 57 × 343 ) / 19

LCM(19,86,57,343) = 31946334 / 19

LCM(19,86,57,343) = 1681386


Lets's calculate GCF of 34,51,31,79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1681386/1

Therefore the LCM of Fractions 19/34,86/51,57/31,343/79 is 1681386

Greatest Common Factor of 34,51,31,79 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,51,31,79 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Greatest Common Factor

We found the factors 34,51,31,79 . The biggest common factor number is the GCF number.
So the greatest common factor 34,51,31,79 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 19/34, 86/51, 57/31, 343/79

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 19/34, 86/51, 57/31, 343/79?

Answer: LCM of Numerators as per given numbers 19/34, 86/51, 57/31, 343/79 is

LCM of Numerators i.e. for 19,86,57,343 is 1681386

GCF of denominators i.e. for 34,51,31,79 is 1.

Thus, LCM of Fractions is 1681386.Finally, LCM of Fractions for 19/34, 86/51, 57/31, 343/79 is 1681386.