Least Common Multiple of 4743/340, 1575/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4743/340, 1575/175 quickly i.e. 166005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4743/340, 1575/175 is 166005.

LCM(4743/340, 1575/175) = 166005

LCM of 4743/340, 1575/175

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 4743/340,1575/175

Given numbers are 4743/340,1575/175

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 4743,1575

Least Common Multiple of Numerators i.e. LCM of 4743,1575 is 830025.

GCF of Denominators means GCF of 340,175 as per the given fractions.

GCF of 340,175 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4743,1575

LCM of Fractions 4743/340,1575/175 is 166005

3 4743, 1575
3 1581, 525
527, 175

∴ So the LCM of the given numbers is 3 x 3 x 527 x 175 = 830025

Least Common Multiple of 4743,1575 with GCF Formula

Least Common Multiple of 4743,1575 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 4743,1575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4743,1575) = 9

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

GCF(4743,1575) x common factors =9 x 1 = 9

LCM(4743,1575) = ( 4743 × 1575 ) / 9

LCM(4743,1575) = 7470225 / 9

LCM(4743,1575) = 830025


Lets's calculate GCF of 340,175

5 340, 175
68, 35

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830025/5

Therefore the LCM of Fractions 4743/340,1575/175 is 166005

Greatest Common Factor of 340,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,175 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 340,175 . The biggest common factor number is the GCF number.
So the greatest common factor 340,175 is 5.


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 4743/340, 1575/175

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 4743/340, 1575/175?

Answer: LCM of Numerators as per given numbers 4743/340, 1575/175 is

LCM of Numerators i.e. for 4743,1575 is 830025

GCF of denominators i.e. for 340,175 is 5.

Thus, LCM of Fractions is 166005.Finally, LCM of Fractions for 4743/340, 1575/175 is 166005.