Least Common Multiple of 496/59, 574/25, 419/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/59, 574/25, 419/438 quickly i.e. 59645488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/59, 574/25, 419/438 is 59645488.

LCM(496/59, 574/25, 419/438) = 59645488

LCM of 496/59, 574/25, 419/438

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 496/59,574/25,419/438

Given numbers are 496/59,574/25,419/438

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 496,574,419

Least Common Multiple of Numerators i.e. LCM of 496,574,419 is 59645488.

GCF of Denominators means GCF of 59,25,438 as per the given fractions.

GCF of 59,25,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,574,419

LCM of Fractions 496/59,574/25,419/438 is 59645488

2 496, 574, 419
248, 287, 419

∴ So the LCM of the given numbers is 2 x 248 x 287 x 419 = 59645488

Least Common Multiple of 496,574,419 with GCF Formula

Least Common Multiple of 496,574,419 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 496,574,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,574,419) = 1

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

GCF(496,574,419) x common factors =1 x 2 = 2

LCM(496,574,419) = ( 496 × 574 × 419 ) / 2

LCM(496,574,419) = 119290976 / 2

LCM(496,574,419) = 59645488


Lets's calculate GCF of 59,25,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59645488/1

Therefore the LCM of Fractions 496/59,574/25,419/438 is 59645488

Greatest Common Factor of 59,25,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,25,438 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 59,25,438 . The biggest common factor number is the GCF number.
So the greatest common factor 59,25,438 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 496/59, 574/25, 419/438

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 496/59, 574/25, 419/438?

Answer: LCM of Numerators as per given numbers 496/59, 574/25, 419/438 is

LCM of Numerators i.e. for 496,574,419 is 59645488

GCF of denominators i.e. for 59,25,438 is 1.

Thus, LCM of Fractions is 59645488.Finally, LCM of Fractions for 496/59, 574/25, 419/438 is 59645488.