Least Common Multiple of 429/20, 735/47, 523/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/20, 735/47, 523/197 quickly i.e. 54969915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/20, 735/47, 523/197 is 54969915.

LCM(429/20, 735/47, 523/197) = 54969915

LCM of 429/20, 735/47, 523/197

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 429/20,735/47,523/197

Given numbers are 429/20,735/47,523/197

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 429,735,523

Least Common Multiple of Numerators i.e. LCM of 429,735,523 is 54969915.

GCF of Denominators means GCF of 20,47,197 as per the given fractions.

GCF of 20,47,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,735,523

LCM of Fractions 429/20,735/47,523/197 is 54969915

3 429, 735, 523
143, 245, 523

∴ So the LCM of the given numbers is 3 x 143 x 245 x 523 = 54969915

Least Common Multiple of 429,735,523 with GCF Formula

Least Common Multiple of 429,735,523 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 429,735,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,735,523) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(429,735,523) x common factors =1 x 3 = 3

LCM(429,735,523) = ( 429 × 735 × 523 ) / 3

LCM(429,735,523) = 164909745 / 3

LCM(429,735,523) = 54969915


Lets's calculate GCF of 20,47,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54969915/1

Therefore the LCM of Fractions 429/20,735/47,523/197 is 54969915

Greatest Common Factor of 20,47,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,47,197 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 20,47,197 . The biggest common factor number is the GCF number.
So the greatest common factor 20,47,197 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 429/20, 735/47, 523/197

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 429/20, 735/47, 523/197?

Answer: LCM of Numerators as per given numbers 429/20, 735/47, 523/197 is

LCM of Numerators i.e. for 429,735,523 is 54969915

GCF of denominators i.e. for 20,47,197 is 1.

Thus, LCM of Fractions is 54969915.Finally, LCM of Fractions for 429/20, 735/47, 523/197 is 54969915.