Least Common Multiple of 74/26, 78/28, 14/50, 72/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/26, 78/28, 14/50, 72/978 quickly i.e. 121212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/26, 78/28, 14/50, 72/978 is 121212.

LCM(74/26, 78/28, 14/50, 72/978) = 121212

LCM of 74/26, 78/28, 14/50, 72/978

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 74/26,78/28,14/50,72/978

Given numbers are 74/26,78/28,14/50,72/978

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 74,78,14,72

Least Common Multiple of Numerators i.e. LCM of 74,78,14,72 is 242424.

GCF of Denominators means GCF of 26,28,50,978 as per the given fractions.

GCF of 26,28,50,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,78,14,72

LCM of Fractions 74/26,78/28,14/50,72/978 is 121212

2 74, 78, 14, 72
3 37, 39, 7, 36
37, 13, 7, 12

∴ So the LCM of the given numbers is 2 x 3 x 37 x 13 x 7 x 12 = 242424

Least Common Multiple of 74,78,14,72 with GCF Formula

Least Common Multiple of 74,78,14,72 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 74,78,14,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,78,14,72) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(74,78,14,72) x common factors =2 x 12 = 24

LCM(74,78,14,72) = ( 74 × 78 × 14 × 72 ) / 24

LCM(74,78,14,72) = 5818176 / 24

LCM(74,78,14,72) = 242424


Lets's calculate GCF of 26,28,50,978

2 26, 28, 50, 978
13, 14, 25, 489

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242424/2

Therefore the LCM of Fractions 74/26,78/28,14/50,72/978 is 121212

Greatest Common Factor of 26,28,50,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,28,50,978 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 26,28,50,978 . The biggest common factor number is the GCF number.
So the greatest common factor 26,28,50,978 is 2.


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 74/26, 78/28, 14/50, 72/978

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 74/26, 78/28, 14/50, 72/978?

Answer: LCM of Numerators as per given numbers 74/26, 78/28, 14/50, 72/978 is

LCM of Numerators i.e. for 74,78,14,72 is 242424

GCF of denominators i.e. for 26,28,50,978 is 2.

Thus, LCM of Fractions is 121212.Finally, LCM of Fractions for 74/26, 78/28, 14/50, 72/978 is 121212.