Least Common Multiple of 562/997, 2102/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 562/997, 2102/112 quickly i.e. 590662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 562/997, 2102/112 is 590662.

LCM(562/997, 2102/112) = 590662

LCM of 562/997, 2102/112

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 562/997,2102/112

Given numbers are 562/997,2102/112

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 562,2102

Least Common Multiple of Numerators i.e. LCM of 562,2102 is 590662.

GCF of Denominators means GCF of 997,112 as per the given fractions.

GCF of 997,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 562,2102

LCM of Fractions 562/997,2102/112 is 590662

2 562, 2102
281, 1051

∴ So the LCM of the given numbers is 2 x 281 x 1051 = 590662

Least Common Multiple of 562,2102 with GCF Formula

Least Common Multiple of 562,2102 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 562,2102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,2102) = 2

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

GCF(562,2102) x common factors =2 x 1 = 2

LCM(562,2102) = ( 562 × 2102 ) / 2

LCM(562,2102) = 1181324 / 2

LCM(562,2102) = 590662


Lets's calculate GCF of 997,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 590662/1

Therefore the LCM of Fractions 562/997,2102/112 is 590662

Greatest Common Factor of 997,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,112 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 997,112 . The biggest common factor number is the GCF number.
So the greatest common factor 997,112 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 562/997, 2102/112

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 562/997, 2102/112?

Answer: LCM of Numerators as per given numbers 562/997, 2102/112 is

LCM of Numerators i.e. for 562,2102 is 590662

GCF of denominators i.e. for 997,112 is 1.

Thus, LCM of Fractions is 590662.Finally, LCM of Fractions for 562/997, 2102/112 is 590662.