Least Common Multiple of 83/298, 97/614, 743/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/298, 97/614, 743/166 quickly i.e. 5981893/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/298, 97/614, 743/166 is 5981893/2.

LCM(83/298, 97/614, 743/166) = 5981893/2

LCM of 83/298, 97/614, 743/166

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 83/298,97/614,743/166

Given numbers are 83/298,97/614,743/166

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 83,97,743

Least Common Multiple of Numerators i.e. LCM of 83,97,743 is 5981893.

GCF of Denominators means GCF of 298,614,166 as per the given fractions.

GCF of 298,614,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,97,743

LCM of Fractions 83/298,97/614,743/166 is 5981893/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 5981893

Least Common Multiple of 83,97,743 with GCF Formula

Least Common Multiple of 83,97,743 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 83,97,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,97,743) = 1

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

GCF(83,97,743) x common factors =1 x 1 = 1

LCM(83,97,743) = ( 83 × 97 × 743 ) / 1

LCM(83,97,743) = 5981893 / 1

LCM(83,97,743) = 5981893


Lets's calculate GCF of 298,614,166

2 298, 614, 166
149, 307, 83

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5981893/2

Therefore the LCM of Fractions 83/298,97/614,743/166 is 5981893/2

Greatest Common Factor of 298,614,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,614,166 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 298,614,166 . The biggest common factor number is the GCF number.
So the greatest common factor 298,614,166 is 2.


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 83/298, 97/614, 743/166

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 83/298, 97/614, 743/166?

Answer: LCM of Numerators as per given numbers 83/298, 97/614, 743/166 is

LCM of Numerators i.e. for 83,97,743 is 5981893

GCF of denominators i.e. for 298,614,166 is 2.

Thus, LCM of Fractions is 5981893/2.Finally, LCM of Fractions for 83/298, 97/614, 743/166 is 5981893/2.