Least Common Multiple of 14/93, 51/92, 73/16, 32/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/93, 51/92, 73/16, 32/301 quickly i.e. 833952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/93, 51/92, 73/16, 32/301 is 833952.

LCM(14/93, 51/92, 73/16, 32/301) = 833952

LCM of 14/93, 51/92, 73/16, 32/301

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 14/93,51/92,73/16,32/301

Given numbers are 14/93,51/92,73/16,32/301

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 14,51,73,32

Least Common Multiple of Numerators i.e. LCM of 14,51,73,32 is 833952.

GCF of Denominators means GCF of 93,92,16,301 as per the given fractions.

GCF of 93,92,16,301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,51,73,32

LCM of Fractions 14/93,51/92,73/16,32/301 is 833952

2 14, 51, 73, 32
7, 51, 73, 16

∴ So the LCM of the given numbers is 2 x 7 x 51 x 73 x 16 = 833952

Least Common Multiple of 14,51,73,32 with GCF Formula

Least Common Multiple of 14,51,73,32 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 14,51,73,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,51,73,32) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,51,73,32) x common factors =1 x 2 = 2

LCM(14,51,73,32) = ( 14 × 51 × 73 × 32 ) / 2

LCM(14,51,73,32) = 1667904 / 2

LCM(14,51,73,32) = 833952


Lets's calculate GCF of 93,92,16,301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 833952/1

Therefore the LCM of Fractions 14/93,51/92,73/16,32/301 is 833952

Greatest Common Factor of 93,92,16,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,92,16,301 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 93,92,16,301 . The biggest common factor number is the GCF number.
So the greatest common factor 93,92,16,301 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/93, 51/92, 73/16, 32/301

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 14/93, 51/92, 73/16, 32/301?

Answer: LCM of Numerators as per given numbers 14/93, 51/92, 73/16, 32/301 is

LCM of Numerators i.e. for 14,51,73,32 is 833952

GCF of denominators i.e. for 93,92,16,301 is 1.

Thus, LCM of Fractions is 833952.Finally, LCM of Fractions for 14/93, 51/92, 73/16, 32/301 is 833952.