Least Common Multiple of 197/70, 403/28, 793/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 197/70, 403/28, 793/413 quickly i.e. 4842851/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 197/70, 403/28, 793/413 is 4842851/7.

LCM(197/70, 403/28, 793/413) = 4842851/7

LCM of 197/70, 403/28, 793/413

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 197/70,403/28,793/413

Given numbers are 197/70,403/28,793/413

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 197,403,793

Least Common Multiple of Numerators i.e. LCM of 197,403,793 is 4842851.

GCF of Denominators means GCF of 70,28,413 as per the given fractions.

GCF of 70,28,413 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 197,403,793

LCM of Fractions 197/70,403/28,793/413 is 4842851/7

13 197, 403, 793
197, 31, 61

∴ So the LCM of the given numbers is 13 x 197 x 31 x 61 = 4842851

Least Common Multiple of 197,403,793 with GCF Formula

Least Common Multiple of 197,403,793 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 197,403,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,403,793) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(197,403,793) x common factors =1 x 13 = 13

LCM(197,403,793) = ( 197 × 403 × 793 ) / 13

LCM(197,403,793) = 62957063 / 13

LCM(197,403,793) = 4842851


Lets's calculate GCF of 70,28,413

7 70, 28, 413
10, 4, 59

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4842851/7

Therefore the LCM of Fractions 197/70,403/28,793/413 is 4842851/7

Greatest Common Factor of 70,28,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,28,413 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 70,28,413 . The biggest common factor number is the GCF number.
So the greatest common factor 70,28,413 is 7.


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 197/70, 403/28, 793/413

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 197/70, 403/28, 793/413?

Answer: LCM of Numerators as per given numbers 197/70, 403/28, 793/413 is

LCM of Numerators i.e. for 197,403,793 is 4842851

GCF of denominators i.e. for 70,28,413 is 7.

Thus, LCM of Fractions is 4842851/7.Finally, LCM of Fractions for 197/70, 403/28, 793/413 is 4842851/7.