Least Common Multiple of 57/670, 52/290, 432/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/670, 52/290, 432/235 quickly i.e. 106704/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/670, 52/290, 432/235 is 106704/5.

LCM(57/670, 52/290, 432/235) = 106704/5

LCM of 57/670, 52/290, 432/235

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 57/670,52/290,432/235

Given numbers are 57/670,52/290,432/235

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 57,52,432

Least Common Multiple of Numerators i.e. LCM of 57,52,432 is 106704.

GCF of Denominators means GCF of 670,290,235 as per the given fractions.

GCF of 670,290,235 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,52,432

LCM of Fractions 57/670,52/290,432/235 is 106704/5

2 57, 52, 432
2 57, 26, 216
3 57, 13, 108
19, 13, 36

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 13 x 36 = 106704

Least Common Multiple of 57,52,432 with GCF Formula

Least Common Multiple of 57,52,432 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 57,52,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,52,432) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(57,52,432) x common factors =1 x 12 = 12

LCM(57,52,432) = ( 57 × 52 × 432 ) / 12

LCM(57,52,432) = 1280448 / 12

LCM(57,52,432) = 106704


Lets's calculate GCF of 670,290,235

5 670, 290, 235
134, 58, 47

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106704/5

Therefore the LCM of Fractions 57/670,52/290,432/235 is 106704/5

Greatest Common Factor of 670,290,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,290,235 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 670,290,235 . The biggest common factor number is the GCF number.
So the greatest common factor 670,290,235 is 5.


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 57/670, 52/290, 432/235

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 57/670, 52/290, 432/235?

Answer: LCM of Numerators as per given numbers 57/670, 52/290, 432/235 is

LCM of Numerators i.e. for 57,52,432 is 106704

GCF of denominators i.e. for 670,290,235 is 5.

Thus, LCM of Fractions is 106704/5.Finally, LCM of Fractions for 57/670, 52/290, 432/235 is 106704/5.