Least Common Multiple of 51/78, 74/14, 68/65, 15/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/78, 74/14, 68/65, 15/229 quickly i.e. 37740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/78, 74/14, 68/65, 15/229 is 37740.

LCM(51/78, 74/14, 68/65, 15/229) = 37740

LCM of 51/78, 74/14, 68/65, 15/229

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 51/78,74/14,68/65,15/229

Given numbers are 51/78,74/14,68/65,15/229

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 51,74,68,15

Least Common Multiple of Numerators i.e. LCM of 51,74,68,15 is 37740.

GCF of Denominators means GCF of 78,14,65,229 as per the given fractions.

GCF of 78,14,65,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,74,68,15

LCM of Fractions 51/78,74/14,68/65,15/229 is 37740

2 51, 74, 68, 15
3 51, 37, 34, 15
17 17, 37, 34, 5
1, 37, 2, 5

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 37 x 2 x 5 = 37740

Least Common Multiple of 51,74,68,15 with GCF Formula

Least Common Multiple of 51,74,68,15 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 51,74,68,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,74,68,15) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(51,74,68,15) x common factors =1 x 102 = 102

LCM(51,74,68,15) = ( 51 × 74 × 68 × 15 ) / 102

LCM(51,74,68,15) = 3849480 / 102

LCM(51,74,68,15) = 37740


Lets's calculate GCF of 78,14,65,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37740/1

Therefore the LCM of Fractions 51/78,74/14,68/65,15/229 is 37740

Greatest Common Factor of 78,14,65,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,14,65,229 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 65

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

1,5,13,65

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 78,14,65,229 . The biggest common factor number is the GCF number.
So the greatest common factor 78,14,65,229 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 51/78, 74/14, 68/65, 15/229

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 51/78, 74/14, 68/65, 15/229?

Answer: LCM of Numerators as per given numbers 51/78, 74/14, 68/65, 15/229 is

LCM of Numerators i.e. for 51,74,68,15 is 37740

GCF of denominators i.e. for 78,14,65,229 is 1.

Thus, LCM of Fractions is 37740.Finally, LCM of Fractions for 51/78, 74/14, 68/65, 15/229 is 37740.