Least Common Multiple of 414/58, 954/53, 596/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/58, 954/53, 596/146 quickly i.e. 6538716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/58, 954/53, 596/146 is 6538716.

LCM(414/58, 954/53, 596/146) = 6538716

LCM of 414/58, 954/53, 596/146

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 414/58,954/53,596/146

Given numbers are 414/58,954/53,596/146

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 414,954,596

Least Common Multiple of Numerators i.e. LCM of 414,954,596 is 6538716.

GCF of Denominators means GCF of 58,53,146 as per the given fractions.

GCF of 58,53,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,954,596

LCM of Fractions 414/58,954/53,596/146 is 6538716

2 414, 954, 596
3 207, 477, 298
3 69, 159, 298
23, 53, 298

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 53 x 298 = 6538716

Least Common Multiple of 414,954,596 with GCF Formula

Least Common Multiple of 414,954,596 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 414,954,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,954,596) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(414,954,596) x common factors =2 x 18 = 36

LCM(414,954,596) = ( 414 × 954 × 596 ) / 36

LCM(414,954,596) = 235393776 / 36

LCM(414,954,596) = 6538716


Lets's calculate GCF of 58,53,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6538716/1

Therefore the LCM of Fractions 414/58,954/53,596/146 is 6538716

Greatest Common Factor of 58,53,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,53,146 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 58,53,146 . The biggest common factor number is the GCF number.
So the greatest common factor 58,53,146 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 414/58, 954/53, 596/146

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 414/58, 954/53, 596/146?

Answer: LCM of Numerators as per given numbers 414/58, 954/53, 596/146 is

LCM of Numerators i.e. for 414,954,596 is 6538716

GCF of denominators i.e. for 58,53,146 is 1.

Thus, LCM of Fractions is 6538716.Finally, LCM of Fractions for 414/58, 954/53, 596/146 is 6538716.