Least Common Multiple of 972/16, 293/4997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 972/16, 293/4997 quickly i.e. 284796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/16, 293/4997 is 284796.

LCM(972/16, 293/4997) = 284796

LCM of 972/16, 293/4997

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 972/16,293/4997

Given numbers are 972/16,293/4997

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 972,293

Least Common Multiple of Numerators i.e. LCM of 972,293 is 284796.

GCF of Denominators means GCF of 16,4997 as per the given fractions.

GCF of 16,4997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,293

LCM of Fractions 972/16,293/4997 is 284796

Given numbers has no common factors except 1. So, there LCM is their product i.e 284796

Least Common Multiple of 972,293 with GCF Formula

Least Common Multiple of 972,293 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 972,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,293) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(972,293) x common factors =1 x 1 = 1

LCM(972,293) = ( 972 × 293 ) / 1

LCM(972,293) = 284796 / 1

LCM(972,293) = 284796


Lets's calculate GCF of 16,4997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284796/1

Therefore the LCM of Fractions 972/16,293/4997 is 284796

Greatest Common Factor of 16,4997 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,4997 By Matching Biggest Common Factor Method

Factors of 16

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

1,2,4,8,16

Factors of 4997

List of positive integer factors of 4997 that divides 4997 without a remainder.

1,19,263,4997

Greatest Common Factor

We found the factors 16,4997 . The biggest common factor number is the GCF number.
So the greatest common factor 16,4997 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 972/16, 293/4997

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 972/16, 293/4997?

Answer: LCM of Numerators as per given numbers 972/16, 293/4997 is

LCM of Numerators i.e. for 972,293 is 284796

GCF of denominators i.e. for 16,4997 is 1.

Thus, LCM of Fractions is 284796.Finally, LCM of Fractions for 972/16, 293/4997 is 284796.