Least Common Multiple of 46/29, 33/57, 78/38, 83/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/29, 33/57, 78/38, 83/337 quickly i.e. 1637922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/29, 33/57, 78/38, 83/337 is 1637922.

LCM(46/29, 33/57, 78/38, 83/337) = 1637922

LCM of 46/29, 33/57, 78/38, 83/337

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 46/29,33/57,78/38,83/337

Given numbers are 46/29,33/57,78/38,83/337

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 46,33,78,83

Least Common Multiple of Numerators i.e. LCM of 46,33,78,83 is 1637922.

GCF of Denominators means GCF of 29,57,38,337 as per the given fractions.

GCF of 29,57,38,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,33,78,83

LCM of Fractions 46/29,33/57,78/38,83/337 is 1637922

2 46, 33, 78, 83
3 23, 33, 39, 83
23, 11, 13, 83

∴ So the LCM of the given numbers is 2 x 3 x 23 x 11 x 13 x 83 = 1637922

Least Common Multiple of 46,33,78,83 with GCF Formula

Least Common Multiple of 46,33,78,83 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 46,33,78,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,33,78,83) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(46,33,78,83) x common factors =1 x 6 = 6

LCM(46,33,78,83) = ( 46 × 33 × 78 × 83 ) / 6

LCM(46,33,78,83) = 9827532 / 6

LCM(46,33,78,83) = 1637922


Lets's calculate GCF of 29,57,38,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1637922/1

Therefore the LCM of Fractions 46/29,33/57,78/38,83/337 is 1637922

Greatest Common Factor of 29,57,38,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,57,38,337 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 29,57,38,337 . The biggest common factor number is the GCF number.
So the greatest common factor 29,57,38,337 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/29, 33/57, 78/38, 83/337

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 46/29, 33/57, 78/38, 83/337?

Answer: LCM of Numerators as per given numbers 46/29, 33/57, 78/38, 83/337 is

LCM of Numerators i.e. for 46,33,78,83 is 1637922

GCF of denominators i.e. for 29,57,38,337 is 1.

Thus, LCM of Fractions is 1637922.Finally, LCM of Fractions for 46/29, 33/57, 78/38, 83/337 is 1637922.