Least Common Multiple of 57/575, 104/782, 832/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/575, 104/782, 832/278 quickly i.e. 47424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/575, 104/782, 832/278 is 47424.

LCM(57/575, 104/782, 832/278) = 47424

LCM of 57/575, 104/782, 832/278

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 57/575,104/782,832/278

Given numbers are 57/575,104/782,832/278

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 57,104,832

Least Common Multiple of Numerators i.e. LCM of 57,104,832 is 47424.

GCF of Denominators means GCF of 575,782,278 as per the given fractions.

GCF of 575,782,278 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,104,832

LCM of Fractions 57/575,104/782,832/278 is 47424

2 57, 104, 832
2 57, 52, 416
2 57, 26, 208
13 57, 13, 104
57, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 57 x 1 x 8 = 47424

Least Common Multiple of 57,104,832 with GCF Formula

Least Common Multiple of 57,104,832 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 57,104,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,104,832) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(57,104,832) x common factors =1 x 104 = 104

LCM(57,104,832) = ( 57 × 104 × 832 ) / 104

LCM(57,104,832) = 4932096 / 104

LCM(57,104,832) = 47424


Lets's calculate GCF of 575,782,278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47424/1

Therefore the LCM of Fractions 57/575,104/782,832/278 is 47424

Greatest Common Factor of 575,782,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,782,278 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 575,782,278 . The biggest common factor number is the GCF number.
So the greatest common factor 575,782,278 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 57/575, 104/782, 832/278

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 57/575, 104/782, 832/278?

Answer: LCM of Numerators as per given numbers 57/575, 104/782, 832/278 is

LCM of Numerators i.e. for 57,104,832 is 47424

GCF of denominators i.e. for 575,782,278 is 1.

Thus, LCM of Fractions is 47424.Finally, LCM of Fractions for 57/575, 104/782, 832/278 is 47424.