Least Common Multiple of 46/41, 65/74, 83/76, 79/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/41, 65/74, 83/76, 79/169 quickly i.e. 19605430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/41, 65/74, 83/76, 79/169 is 19605430.

LCM(46/41, 65/74, 83/76, 79/169) = 19605430

LCM of 46/41, 65/74, 83/76, 79/169

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 46/41,65/74,83/76,79/169

Given numbers are 46/41,65/74,83/76,79/169

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 46,65,83,79

Least Common Multiple of Numerators i.e. LCM of 46,65,83,79 is 19605430.

GCF of Denominators means GCF of 41,74,76,169 as per the given fractions.

GCF of 41,74,76,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,65,83,79

LCM of Fractions 46/41,65/74,83/76,79/169 is 19605430

Given numbers has no common factors except 1. So, there LCM is their product i.e 19605430

Least Common Multiple of 46,65,83,79 with GCF Formula

Least Common Multiple of 46,65,83,79 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 46,65,83,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,65,83,79) = 1

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

GCF(46,65,83,79) x common factors =1 x 1 = 1

LCM(46,65,83,79) = ( 46 × 65 × 83 × 79 ) / 1

LCM(46,65,83,79) = 19605430 / 1

LCM(46,65,83,79) = 19605430


Lets's calculate GCF of 41,74,76,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19605430/1

Therefore the LCM of Fractions 46/41,65/74,83/76,79/169 is 19605430

Greatest Common Factor of 41,74,76,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,74,76,169 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 41,74,76,169 . The biggest common factor number is the GCF number.
So the greatest common factor 41,74,76,169 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 46/41, 65/74, 83/76, 79/169

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 46/41, 65/74, 83/76, 79/169?

Answer: LCM of Numerators as per given numbers 46/41, 65/74, 83/76, 79/169 is

LCM of Numerators i.e. for 46,65,83,79 is 19605430

GCF of denominators i.e. for 41,74,76,169 is 1.

Thus, LCM of Fractions is 19605430.Finally, LCM of Fractions for 46/41, 65/74, 83/76, 79/169 is 19605430.