Least Common Multiple of 53/613, 424/39, 894/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/613, 424/39, 894/414 quickly i.e. 189528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/613, 424/39, 894/414 is 189528.

LCM(53/613, 424/39, 894/414) = 189528

LCM of 53/613, 424/39, 894/414

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 53/613,424/39,894/414

Given numbers are 53/613,424/39,894/414

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 53,424,894

Least Common Multiple of Numerators i.e. LCM of 53,424,894 is 189528.

GCF of Denominators means GCF of 613,39,414 as per the given fractions.

GCF of 613,39,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,424,894

LCM of Fractions 53/613,424/39,894/414 is 189528

2 53, 424, 894
53 53, 212, 447
1, 4, 447

∴ So the LCM of the given numbers is 2 x 53 x 1 x 4 x 447 = 189528

Least Common Multiple of 53,424,894 with GCF Formula

Least Common Multiple of 53,424,894 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 53,424,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,424,894) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(53,424,894) x common factors =1 x 106 = 106

LCM(53,424,894) = ( 53 × 424 × 894 ) / 106

LCM(53,424,894) = 20089968 / 106

LCM(53,424,894) = 189528


Lets's calculate GCF of 613,39,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189528/1

Therefore the LCM of Fractions 53/613,424/39,894/414 is 189528

Greatest Common Factor of 613,39,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,39,414 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 613,39,414 . The biggest common factor number is the GCF number.
So the greatest common factor 613,39,414 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 53/613, 424/39, 894/414

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 53/613, 424/39, 894/414?

Answer: LCM of Numerators as per given numbers 53/613, 424/39, 894/414 is

LCM of Numerators i.e. for 53,424,894 is 189528

GCF of denominators i.e. for 613,39,414 is 1.

Thus, LCM of Fractions is 189528.Finally, LCM of Fractions for 53/613, 424/39, 894/414 is 189528.