Least Common Multiple of 106/73, 997/45, 143/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/73, 997/45, 143/662 quickly i.e. 15112526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/73, 997/45, 143/662 is 15112526.

LCM(106/73, 997/45, 143/662) = 15112526

LCM of 106/73, 997/45, 143/662

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 106/73,997/45,143/662

Given numbers are 106/73,997/45,143/662

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 106,997,143

Least Common Multiple of Numerators i.e. LCM of 106,997,143 is 15112526.

GCF of Denominators means GCF of 73,45,662 as per the given fractions.

GCF of 73,45,662 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,997,143

LCM of Fractions 106/73,997/45,143/662 is 15112526

Given numbers has no common factors except 1. So, there LCM is their product i.e 15112526

Least Common Multiple of 106,997,143 with GCF Formula

Least Common Multiple of 106,997,143 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 106,997,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,997,143) = 1

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

GCF(106,997,143) x common factors =1 x 1 = 1

LCM(106,997,143) = ( 106 × 997 × 143 ) / 1

LCM(106,997,143) = 15112526 / 1

LCM(106,997,143) = 15112526


Lets's calculate GCF of 73,45,662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15112526/1

Therefore the LCM of Fractions 106/73,997/45,143/662 is 15112526

Greatest Common Factor of 73,45,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,45,662 By Matching Biggest Common Factor Method

Factors of 73

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

1,73

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 73,45,662 . The biggest common factor number is the GCF number.
So the greatest common factor 73,45,662 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 106/73, 997/45, 143/662

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 106/73, 997/45, 143/662?

Answer: LCM of Numerators as per given numbers 106/73, 997/45, 143/662 is

LCM of Numerators i.e. for 106,997,143 is 15112526

GCF of denominators i.e. for 73,45,662 is 1.

Thus, LCM of Fractions is 15112526.Finally, LCM of Fractions for 106/73, 997/45, 143/662 is 15112526.