Least Common Multiple of 71/373, 202/182, 404/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/373, 202/182, 404/989 quickly i.e. 28684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/373, 202/182, 404/989 is 28684.

LCM(71/373, 202/182, 404/989) = 28684

LCM of 71/373, 202/182, 404/989

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 71/373,202/182,404/989

Given numbers are 71/373,202/182,404/989

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 71,202,404

Least Common Multiple of Numerators i.e. LCM of 71,202,404 is 28684.

GCF of Denominators means GCF of 373,182,989 as per the given fractions.

GCF of 373,182,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,202,404

LCM of Fractions 71/373,202/182,404/989 is 28684

2 71, 202, 404
101 71, 101, 202
71, 1, 2

∴ So the LCM of the given numbers is 2 x 101 x 71 x 1 x 2 = 28684

Least Common Multiple of 71,202,404 with GCF Formula

Least Common Multiple of 71,202,404 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 71,202,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,202,404) = 1

common factors(in case of two or more numbers have common factors) = 202

GCF(71,202,404) x common factors =1 x 202 = 202

LCM(71,202,404) = ( 71 × 202 × 404 ) / 202

LCM(71,202,404) = 5794168 / 202

LCM(71,202,404) = 28684


Lets's calculate GCF of 373,182,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28684/1

Therefore the LCM of Fractions 71/373,202/182,404/989 is 28684

Greatest Common Factor of 373,182,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,182,989 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 373,182,989 . The biggest common factor number is the GCF number.
So the greatest common factor 373,182,989 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 71/373, 202/182, 404/989

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 71/373, 202/182, 404/989?

Answer: LCM of Numerators as per given numbers 71/373, 202/182, 404/989 is

LCM of Numerators i.e. for 71,202,404 is 28684

GCF of denominators i.e. for 373,182,989 is 1.

Thus, LCM of Fractions is 28684.Finally, LCM of Fractions for 71/373, 202/182, 404/989 is 28684.