Least Common Multiple of 34/38, 515/65, 738/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/38, 515/65, 738/110 quickly i.e. 6461190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/38, 515/65, 738/110 is 6461190.

LCM(34/38, 515/65, 738/110) = 6461190

LCM of 34/38, 515/65, 738/110

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 34/38,515/65,738/110

Given numbers are 34/38,515/65,738/110

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 34,515,738

Least Common Multiple of Numerators i.e. LCM of 34,515,738 is 6461190.

GCF of Denominators means GCF of 38,65,110 as per the given fractions.

GCF of 38,65,110 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,515,738

LCM of Fractions 34/38,515/65,738/110 is 6461190

2 34, 515, 738
17, 515, 369

∴ So the LCM of the given numbers is 2 x 17 x 515 x 369 = 6461190

Least Common Multiple of 34,515,738 with GCF Formula

Least Common Multiple of 34,515,738 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 34,515,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,515,738) = 1

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

GCF(34,515,738) x common factors =1 x 2 = 2

LCM(34,515,738) = ( 34 × 515 × 738 ) / 2

LCM(34,515,738) = 12922380 / 2

LCM(34,515,738) = 6461190


Lets's calculate GCF of 38,65,110

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6461190/1

Therefore the LCM of Fractions 34/38,515/65,738/110 is 6461190

Greatest Common Factor of 38,65,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,65,110 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 38,65,110 . The biggest common factor number is the GCF number.
So the greatest common factor 38,65,110 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 34/38, 515/65, 738/110

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 34/38, 515/65, 738/110?

Answer: LCM of Numerators as per given numbers 34/38, 515/65, 738/110 is

LCM of Numerators i.e. for 34,515,738 is 6461190

GCF of denominators i.e. for 38,65,110 is 1.

Thus, LCM of Fractions is 6461190.Finally, LCM of Fractions for 34/38, 515/65, 738/110 is 6461190.