Least Common Multiple of 578/40, 314/75, 587/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/40, 314/75, 587/606 quickly i.e. 53267902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/40, 314/75, 587/606 is 53267902.

LCM(578/40, 314/75, 587/606) = 53267902

LCM of 578/40, 314/75, 587/606

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 578/40,314/75,587/606

Given numbers are 578/40,314/75,587/606

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 578,314,587

Least Common Multiple of Numerators i.e. LCM of 578,314,587 is 53267902.

GCF of Denominators means GCF of 40,75,606 as per the given fractions.

GCF of 40,75,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,314,587

LCM of Fractions 578/40,314/75,587/606 is 53267902

2 578, 314, 587
289, 157, 587

∴ So the LCM of the given numbers is 2 x 289 x 157 x 587 = 53267902

Least Common Multiple of 578,314,587 with GCF Formula

Least Common Multiple of 578,314,587 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 578,314,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,314,587) = 1

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

GCF(578,314,587) x common factors =1 x 2 = 2

LCM(578,314,587) = ( 578 × 314 × 587 ) / 2

LCM(578,314,587) = 106535804 / 2

LCM(578,314,587) = 53267902


Lets's calculate GCF of 40,75,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53267902/1

Therefore the LCM of Fractions 578/40,314/75,587/606 is 53267902

Greatest Common Factor of 40,75,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,75,606 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 40,75,606 . The biggest common factor number is the GCF number.
So the greatest common factor 40,75,606 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 578/40, 314/75, 587/606

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 578/40, 314/75, 587/606?

Answer: LCM of Numerators as per given numbers 578/40, 314/75, 587/606 is

LCM of Numerators i.e. for 578,314,587 is 53267902

GCF of denominators i.e. for 40,75,606 is 1.

Thus, LCM of Fractions is 53267902.Finally, LCM of Fractions for 578/40, 314/75, 587/606 is 53267902.