Least Common Multiple of 998/173, 147/371, 457/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/173, 147/371, 457/476 quickly i.e. 67044642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/173, 147/371, 457/476 is 67044642.

LCM(998/173, 147/371, 457/476) = 67044642

LCM of 998/173, 147/371, 457/476

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 998/173,147/371,457/476

Given numbers are 998/173,147/371,457/476

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 998,147,457

Least Common Multiple of Numerators i.e. LCM of 998,147,457 is 67044642.

GCF of Denominators means GCF of 173,371,476 as per the given fractions.

GCF of 173,371,476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,147,457

LCM of Fractions 998/173,147/371,457/476 is 67044642

Given numbers has no common factors except 1. So, there LCM is their product i.e 67044642

Least Common Multiple of 998,147,457 with GCF Formula

Least Common Multiple of 998,147,457 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 998,147,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,147,457) = 1

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

GCF(998,147,457) x common factors =1 x 1 = 1

LCM(998,147,457) = ( 998 × 147 × 457 ) / 1

LCM(998,147,457) = 67044642 / 1

LCM(998,147,457) = 67044642


Lets's calculate GCF of 173,371,476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67044642/1

Therefore the LCM of Fractions 998/173,147/371,457/476 is 67044642

Greatest Common Factor of 173,371,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,371,476 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 173,371,476 . The biggest common factor number is the GCF number.
So the greatest common factor 173,371,476 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 998/173, 147/371, 457/476

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 998/173, 147/371, 457/476?

Answer: LCM of Numerators as per given numbers 998/173, 147/371, 457/476 is

LCM of Numerators i.e. for 998,147,457 is 67044642

GCF of denominators i.e. for 173,371,476 is 1.

Thus, LCM of Fractions is 67044642.Finally, LCM of Fractions for 998/173, 147/371, 457/476 is 67044642.