Least Common Multiple of 58/250, 42/533, 384/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/250, 42/533, 384/773 quickly i.e. 77952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/250, 42/533, 384/773 is 77952.

LCM(58/250, 42/533, 384/773) = 77952

LCM of 58/250, 42/533, 384/773

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 58/250,42/533,384/773

Given numbers are 58/250,42/533,384/773

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 58,42,384

Least Common Multiple of Numerators i.e. LCM of 58,42,384 is 77952.

GCF of Denominators means GCF of 250,533,773 as per the given fractions.

GCF of 250,533,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,42,384

LCM of Fractions 58/250,42/533,384/773 is 77952

2 58, 42, 384
3 29, 21, 192
29, 7, 64

∴ So the LCM of the given numbers is 2 x 3 x 29 x 7 x 64 = 77952

Least Common Multiple of 58,42,384 with GCF Formula

Least Common Multiple of 58,42,384 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 58,42,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,42,384) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(58,42,384) x common factors =2 x 6 = 12

LCM(58,42,384) = ( 58 × 42 × 384 ) / 12

LCM(58,42,384) = 935424 / 12

LCM(58,42,384) = 77952


Lets's calculate GCF of 250,533,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77952/1

Therefore the LCM of Fractions 58/250,42/533,384/773 is 77952

Greatest Common Factor of 250,533,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,533,773 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 250,533,773 . The biggest common factor number is the GCF number.
So the greatest common factor 250,533,773 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 58/250, 42/533, 384/773

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 58/250, 42/533, 384/773?

Answer: LCM of Numerators as per given numbers 58/250, 42/533, 384/773 is

LCM of Numerators i.e. for 58,42,384 is 77952

GCF of denominators i.e. for 250,533,773 is 1.

Thus, LCM of Fractions is 77952.Finally, LCM of Fractions for 58/250, 42/533, 384/773 is 77952.