Least Common Multiple of 19/57, 465/46, 325/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/57, 465/46, 325/821 quickly i.e. 574275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/57, 465/46, 325/821 is 574275.

LCM(19/57, 465/46, 325/821) = 574275

LCM of 19/57, 465/46, 325/821

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 19/57,465/46,325/821

Given numbers are 19/57,465/46,325/821

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 19,465,325

Least Common Multiple of Numerators i.e. LCM of 19,465,325 is 574275.

GCF of Denominators means GCF of 57,46,821 as per the given fractions.

GCF of 57,46,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,465,325

LCM of Fractions 19/57,465/46,325/821 is 574275

5 19, 465, 325
19, 93, 65

∴ So the LCM of the given numbers is 5 x 19 x 93 x 65 = 574275

Least Common Multiple of 19,465,325 with GCF Formula

Least Common Multiple of 19,465,325 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 19,465,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,465,325) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(19,465,325) x common factors =1 x 5 = 5

LCM(19,465,325) = ( 19 × 465 × 325 ) / 5

LCM(19,465,325) = 2871375 / 5

LCM(19,465,325) = 574275


Lets's calculate GCF of 57,46,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 574275/1

Therefore the LCM of Fractions 19/57,465/46,325/821 is 574275

Greatest Common Factor of 57,46,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,46,821 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 57,46,821 . The biggest common factor number is the GCF number.
So the greatest common factor 57,46,821 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 19/57, 465/46, 325/821

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 19/57, 465/46, 325/821?

Answer: LCM of Numerators as per given numbers 19/57, 465/46, 325/821 is

LCM of Numerators i.e. for 19,465,325 is 574275

GCF of denominators i.e. for 57,46,821 is 1.

Thus, LCM of Fractions is 574275.Finally, LCM of Fractions for 19/57, 465/46, 325/821 is 574275.