Least Common Multiple of 3173/429, 5496/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3173/429, 5496/146 quickly i.e. 17438808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3173/429, 5496/146 is 17438808.

LCM(3173/429, 5496/146) = 17438808

LCM of 3173/429, 5496/146

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 3173/429,5496/146

Given numbers are 3173/429,5496/146

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 3173,5496

Least Common Multiple of Numerators i.e. LCM of 3173,5496 is 17438808.

GCF of Denominators means GCF of 429,146 as per the given fractions.

GCF of 429,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3173,5496

LCM of Fractions 3173/429,5496/146 is 17438808

Given numbers has no common factors except 1. So, there LCM is their product i.e 17438808

Least Common Multiple of 3173,5496 with GCF Formula

Least Common Multiple of 3173,5496 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 3173,5496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3173,5496) = 1

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

GCF(3173,5496) x common factors =1 x 1 = 1

LCM(3173,5496) = ( 3173 × 5496 ) / 1

LCM(3173,5496) = 17438808 / 1

LCM(3173,5496) = 17438808


Lets's calculate GCF of 429,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17438808/1

Therefore the LCM of Fractions 3173/429,5496/146 is 17438808

Greatest Common Factor of 429,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,146 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 429,146 . The biggest common factor number is the GCF number.
So the greatest common factor 429,146 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3173/429, 5496/146

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 3173/429, 5496/146?

Answer: LCM of Numerators as per given numbers 3173/429, 5496/146 is

LCM of Numerators i.e. for 3173,5496 is 17438808

GCF of denominators i.e. for 429,146 is 1.

Thus, LCM of Fractions is 17438808.Finally, LCM of Fractions for 3173/429, 5496/146 is 17438808.