Least Common Multiple of 16/40, 78/46, 38/55, 114/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/40, 78/46, 38/55, 114/37 quickly i.e. 11856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/40, 78/46, 38/55, 114/37 is 11856.

LCM(16/40, 78/46, 38/55, 114/37) = 11856

LCM of 16/40, 78/46, 38/55, 114/37

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 16/40,78/46,38/55,114/37

Given numbers are 16/40,78/46,38/55,114/37

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 16,78,38,114

Least Common Multiple of Numerators i.e. LCM of 16,78,38,114 is 11856.

GCF of Denominators means GCF of 40,46,55,37 as per the given fractions.

GCF of 40,46,55,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,78,38,114

LCM of Fractions 16/40,78/46,38/55,114/37 is 11856

2 16, 78, 38, 114
3 8, 39, 19, 57
19 8, 13, 19, 19
8, 13, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 19 x 8 x 13 x 1 x 1 = 11856

Least Common Multiple of 16,78,38,114 with GCF Formula

Least Common Multiple of 16,78,38,114 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 16,78,38,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,78,38,114) = 2

common factors(in case of two or more numbers have common factors) = 228

GCF(16,78,38,114) x common factors =2 x 228 = 456

LCM(16,78,38,114) = ( 16 × 78 × 38 × 114 ) / 456

LCM(16,78,38,114) = 5406336 / 456

LCM(16,78,38,114) = 11856


Lets's calculate GCF of 40,46,55,37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11856/1

Therefore the LCM of Fractions 16/40,78/46,38/55,114/37 is 11856

Greatest Common Factor of 40,46,55,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,46,55,37 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 40,46,55,37 . The biggest common factor number is the GCF number.
So the greatest common factor 40,46,55,37 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 16/40, 78/46, 38/55, 114/37

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 16/40, 78/46, 38/55, 114/37?

Answer: LCM of Numerators as per given numbers 16/40, 78/46, 38/55, 114/37 is

LCM of Numerators i.e. for 16,78,38,114 is 11856

GCF of denominators i.e. for 40,46,55,37 is 1.

Thus, LCM of Fractions is 11856.Finally, LCM of Fractions for 16/40, 78/46, 38/55, 114/37 is 11856.