Least Common Multiple of 23/61, 98/26, 94/14, 444/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/61, 98/26, 94/14, 444/73 quickly i.e. 23518236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/61, 98/26, 94/14, 444/73 is 23518236.

LCM(23/61, 98/26, 94/14, 444/73) = 23518236

LCM of 23/61, 98/26, 94/14, 444/73

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 23/61,98/26,94/14,444/73

Given numbers are 23/61,98/26,94/14,444/73

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 23,98,94,444

Least Common Multiple of Numerators i.e. LCM of 23,98,94,444 is 23518236.

GCF of Denominators means GCF of 61,26,14,73 as per the given fractions.

GCF of 61,26,14,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,98,94,444

LCM of Fractions 23/61,98/26,94/14,444/73 is 23518236

2 23, 98, 94, 444
23, 49, 47, 222

∴ So the LCM of the given numbers is 2 x 23 x 49 x 47 x 222 = 23518236

Least Common Multiple of 23,98,94,444 with GCF Formula

Least Common Multiple of 23,98,94,444 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 23,98,94,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,98,94,444) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(23,98,94,444) x common factors =1 x 4 = 4

LCM(23,98,94,444) = ( 23 × 98 × 94 × 444 ) / 4

LCM(23,98,94,444) = 94072944 / 4

LCM(23,98,94,444) = 23518236


Lets's calculate GCF of 61,26,14,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23518236/1

Therefore the LCM of Fractions 23/61,98/26,94/14,444/73 is 23518236

Greatest Common Factor of 61,26,14,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,26,14,73 By Matching Biggest Common Factor Method

Factors of 61

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

1,61

Factors of 26

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

1,2,13,26

Factors of 14

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

1,2,7,14

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 61,26,14,73 . The biggest common factor number is the GCF number.
So the greatest common factor 61,26,14,73 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/61, 98/26, 94/14, 444/73

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 23/61, 98/26, 94/14, 444/73?

Answer: LCM of Numerators as per given numbers 23/61, 98/26, 94/14, 444/73 is

LCM of Numerators i.e. for 23,98,94,444 is 23518236

GCF of denominators i.e. for 61,26,14,73 is 1.

Thus, LCM of Fractions is 23518236.Finally, LCM of Fractions for 23/61, 98/26, 94/14, 444/73 is 23518236.