Least Common Multiple of 34/20, 768/31, 413/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/20, 768/31, 413/650 quickly i.e. 5392128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/20, 768/31, 413/650 is 5392128.

LCM(34/20, 768/31, 413/650) = 5392128

LCM of 34/20, 768/31, 413/650

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 34/20,768/31,413/650

Given numbers are 34/20,768/31,413/650

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 34,768,413

Least Common Multiple of Numerators i.e. LCM of 34,768,413 is 5392128.

GCF of Denominators means GCF of 20,31,650 as per the given fractions.

GCF of 20,31,650 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,768,413

LCM of Fractions 34/20,768/31,413/650 is 5392128

2 34, 768, 413
17, 384, 413

∴ So the LCM of the given numbers is 2 x 17 x 384 x 413 = 5392128

Least Common Multiple of 34,768,413 with GCF Formula

Least Common Multiple of 34,768,413 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 34,768,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,768,413) = 1

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

GCF(34,768,413) x common factors =1 x 2 = 2

LCM(34,768,413) = ( 34 × 768 × 413 ) / 2

LCM(34,768,413) = 10784256 / 2

LCM(34,768,413) = 5392128


Lets's calculate GCF of 20,31,650

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5392128/1

Therefore the LCM of Fractions 34/20,768/31,413/650 is 5392128

Greatest Common Factor of 20,31,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,31,650 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 31

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

1,31

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 20,31,650 . The biggest common factor number is the GCF number.
So the greatest common factor 20,31,650 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 34/20, 768/31, 413/650

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 34/20, 768/31, 413/650?

Answer: LCM of Numerators as per given numbers 34/20, 768/31, 413/650 is

LCM of Numerators i.e. for 34,768,413 is 5392128

GCF of denominators i.e. for 20,31,650 is 1.

Thus, LCM of Fractions is 5392128.Finally, LCM of Fractions for 34/20, 768/31, 413/650 is 5392128.