Least Common Multiple of 16/45, 95/74, 34/19, 68/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/45, 95/74, 34/19, 68/232 quickly i.e. 25840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/45, 95/74, 34/19, 68/232 is 25840.

LCM(16/45, 95/74, 34/19, 68/232) = 25840

LCM of 16/45, 95/74, 34/19, 68/232

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 16/45,95/74,34/19,68/232

Given numbers are 16/45,95/74,34/19,68/232

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 16,95,34,68

Least Common Multiple of Numerators i.e. LCM of 16,95,34,68 is 25840.

GCF of Denominators means GCF of 45,74,19,232 as per the given fractions.

GCF of 45,74,19,232 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,95,34,68

LCM of Fractions 16/45,95/74,34/19,68/232 is 25840

2 16, 95, 34, 68
2 8, 95, 17, 34
17 4, 95, 17, 17
4, 95, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 17 x 4 x 95 x 1 x 1 = 25840

Least Common Multiple of 16,95,34,68 with GCF Formula

Least Common Multiple of 16,95,34,68 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 16,95,34,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,95,34,68) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(16,95,34,68) x common factors =1 x 136 = 136

LCM(16,95,34,68) = ( 16 × 95 × 34 × 68 ) / 136

LCM(16,95,34,68) = 3514240 / 136

LCM(16,95,34,68) = 25840


Lets's calculate GCF of 45,74,19,232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25840/1

Therefore the LCM of Fractions 16/45,95/74,34/19,68/232 is 25840

Greatest Common Factor of 45,74,19,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,74,19,232 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 45,74,19,232 . The biggest common factor number is the GCF number.
So the greatest common factor 45,74,19,232 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 16/45, 95/74, 34/19, 68/232

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 16/45, 95/74, 34/19, 68/232?

Answer: LCM of Numerators as per given numbers 16/45, 95/74, 34/19, 68/232 is

LCM of Numerators i.e. for 16,95,34,68 is 25840

GCF of denominators i.e. for 45,74,19,232 is 1.

Thus, LCM of Fractions is 25840.Finally, LCM of Fractions for 16/45, 95/74, 34/19, 68/232 is 25840.