Least Common Multiple of 46/79, 67/28, 41/11, 22/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/79, 67/28, 41/11, 22/618 quickly i.e. 1389982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/79, 67/28, 41/11, 22/618 is 1389982.

LCM(46/79, 67/28, 41/11, 22/618) = 1389982

LCM of 46/79, 67/28, 41/11, 22/618

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 46/79,67/28,41/11,22/618

Given numbers are 46/79,67/28,41/11,22/618

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 46,67,41,22

Least Common Multiple of Numerators i.e. LCM of 46,67,41,22 is 1389982.

GCF of Denominators means GCF of 79,28,11,618 as per the given fractions.

GCF of 79,28,11,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,67,41,22

LCM of Fractions 46/79,67/28,41/11,22/618 is 1389982

2 46, 67, 41, 22
23, 67, 41, 11

∴ So the LCM of the given numbers is 2 x 23 x 67 x 41 x 11 = 1389982

Least Common Multiple of 46,67,41,22 with GCF Formula

Least Common Multiple of 46,67,41,22 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 46,67,41,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,67,41,22) = 1

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

GCF(46,67,41,22) x common factors =1 x 2 = 2

LCM(46,67,41,22) = ( 46 × 67 × 41 × 22 ) / 2

LCM(46,67,41,22) = 2779964 / 2

LCM(46,67,41,22) = 1389982


Lets's calculate GCF of 79,28,11,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1389982/1

Therefore the LCM of Fractions 46/79,67/28,41/11,22/618 is 1389982

Greatest Common Factor of 79,28,11,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,28,11,618 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 79,28,11,618 . The biggest common factor number is the GCF number.
So the greatest common factor 79,28,11,618 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/79, 67/28, 41/11, 22/618

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 46/79, 67/28, 41/11, 22/618?

Answer: LCM of Numerators as per given numbers 46/79, 67/28, 41/11, 22/618 is

LCM of Numerators i.e. for 46,67,41,22 is 1389982

GCF of denominators i.e. for 79,28,11,618 is 1.

Thus, LCM of Fractions is 1389982.Finally, LCM of Fractions for 46/79, 67/28, 41/11, 22/618 is 1389982.