Least Common Multiple of 22/14, 44/48, 96/89, 17/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/14, 44/48, 96/89, 17/61 quickly i.e. 17952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/14, 44/48, 96/89, 17/61 is 17952.

LCM(22/14, 44/48, 96/89, 17/61) = 17952

LCM of 22/14, 44/48, 96/89, 17/61

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 22/14,44/48,96/89,17/61

Given numbers are 22/14,44/48,96/89,17/61

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 22,44,96,17

Least Common Multiple of Numerators i.e. LCM of 22,44,96,17 is 17952.

GCF of Denominators means GCF of 14,48,89,61 as per the given fractions.

GCF of 14,48,89,61 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,44,96,17

LCM of Fractions 22/14,44/48,96/89,17/61 is 17952

2 22, 44, 96, 17
2 11, 22, 48, 17
11 11, 11, 24, 17
1, 1, 24, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 1 x 24 x 17 = 17952

Least Common Multiple of 22,44,96,17 with GCF Formula

Least Common Multiple of 22,44,96,17 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 22,44,96,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,44,96,17) = 1

common factors(in case of two or more numbers have common factors) = 88

GCF(22,44,96,17) x common factors =1 x 88 = 88

LCM(22,44,96,17) = ( 22 × 44 × 96 × 17 ) / 88

LCM(22,44,96,17) = 1579776 / 88

LCM(22,44,96,17) = 17952


Lets's calculate GCF of 14,48,89,61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17952/1

Therefore the LCM of Fractions 22/14,44/48,96/89,17/61 is 17952

Greatest Common Factor of 14,48,89,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,48,89,61 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors 14,48,89,61 . The biggest common factor number is the GCF number.
So the greatest common factor 14,48,89,61 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 22/14, 44/48, 96/89, 17/61

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 22/14, 44/48, 96/89, 17/61?

Answer: LCM of Numerators as per given numbers 22/14, 44/48, 96/89, 17/61 is

LCM of Numerators i.e. for 22,44,96,17 is 17952

GCF of denominators i.e. for 14,48,89,61 is 1.

Thus, LCM of Fractions is 17952.Finally, LCM of Fractions for 22/14, 44/48, 96/89, 17/61 is 17952.