Least Common Multiple of 58/76, 462/19, 197/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/76, 462/19, 197/704 quickly i.e. 2639406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/76, 462/19, 197/704 is 2639406.

LCM(58/76, 462/19, 197/704) = 2639406

LCM of 58/76, 462/19, 197/704

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 58/76,462/19,197/704

Given numbers are 58/76,462/19,197/704

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 58,462,197

Least Common Multiple of Numerators i.e. LCM of 58,462,197 is 2639406.

GCF of Denominators means GCF of 76,19,704 as per the given fractions.

GCF of 76,19,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,462,197

LCM of Fractions 58/76,462/19,197/704 is 2639406

2 58, 462, 197
29, 231, 197

∴ So the LCM of the given numbers is 2 x 29 x 231 x 197 = 2639406

Least Common Multiple of 58,462,197 with GCF Formula

Least Common Multiple of 58,462,197 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 58,462,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,462,197) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,462,197) x common factors =1 x 2 = 2

LCM(58,462,197) = ( 58 × 462 × 197 ) / 2

LCM(58,462,197) = 5278812 / 2

LCM(58,462,197) = 2639406


Lets's calculate GCF of 76,19,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2639406/1

Therefore the LCM of Fractions 58/76,462/19,197/704 is 2639406

Greatest Common Factor of 76,19,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,19,704 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 76,19,704 . The biggest common factor number is the GCF number.
So the greatest common factor 76,19,704 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 58/76, 462/19, 197/704

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 58/76, 462/19, 197/704?

Answer: LCM of Numerators as per given numbers 58/76, 462/19, 197/704 is

LCM of Numerators i.e. for 58,462,197 is 2639406

GCF of denominators i.e. for 76,19,704 is 1.

Thus, LCM of Fractions is 2639406.Finally, LCM of Fractions for 58/76, 462/19, 197/704 is 2639406.