Least Common Multiple of 46/19, 57/35, 41/66, 29/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/19, 57/35, 41/66, 29/513 quickly i.e. 3117558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/19, 57/35, 41/66, 29/513 is 3117558.

LCM(46/19, 57/35, 41/66, 29/513) = 3117558

LCM of 46/19, 57/35, 41/66, 29/513

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 46/19,57/35,41/66,29/513

Given numbers are 46/19,57/35,41/66,29/513

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 46,57,41,29

Least Common Multiple of Numerators i.e. LCM of 46,57,41,29 is 3117558.

GCF of Denominators means GCF of 19,35,66,513 as per the given fractions.

GCF of 19,35,66,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,57,41,29

LCM of Fractions 46/19,57/35,41/66,29/513 is 3117558

Given numbers has no common factors except 1. So, there LCM is their product i.e 3117558

Least Common Multiple of 46,57,41,29 with GCF Formula

Least Common Multiple of 46,57,41,29 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 46,57,41,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,57,41,29) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(46,57,41,29) x common factors =1 x 1 = 1

LCM(46,57,41,29) = ( 46 × 57 × 41 × 29 ) / 1

LCM(46,57,41,29) = 3117558 / 1

LCM(46,57,41,29) = 3117558


Lets's calculate GCF of 19,35,66,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3117558/1

Therefore the LCM of Fractions 46/19,57/35,41/66,29/513 is 3117558

Greatest Common Factor of 19,35,66,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,35,66,513 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 19,35,66,513 . The biggest common factor number is the GCF number.
So the greatest common factor 19,35,66,513 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 46/19, 57/35, 41/66, 29/513

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 46/19, 57/35, 41/66, 29/513?

Answer: LCM of Numerators as per given numbers 46/19, 57/35, 41/66, 29/513 is

LCM of Numerators i.e. for 46,57,41,29 is 3117558

GCF of denominators i.e. for 19,35,66,513 is 1.

Thus, LCM of Fractions is 3117558.Finally, LCM of Fractions for 46/19, 57/35, 41/66, 29/513 is 3117558.