Least Common Multiple of 46/42, 71/66, 146/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/42, 71/66, 146/796 quickly i.e. 119209 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/42, 71/66, 146/796 is 119209.

LCM(46/42, 71/66, 146/796) = 119209

LCM of 46/42, 71/66, 146/796

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 46/42,71/66,146/796

Given numbers are 46/42,71/66,146/796

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 46,71,146

Least Common Multiple of Numerators i.e. LCM of 46,71,146 is 238418.

GCF of Denominators means GCF of 42,66,796 as per the given fractions.

GCF of 42,66,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,71,146

LCM of Fractions 46/42,71/66,146/796 is 119209

2 46, 71, 146
23, 71, 73

∴ So the LCM of the given numbers is 2 x 23 x 71 x 73 = 238418

Least Common Multiple of 46,71,146 with GCF Formula

Least Common Multiple of 46,71,146 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 46,71,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,71,146) = 1

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

GCF(46,71,146) x common factors =1 x 2 = 2

LCM(46,71,146) = ( 46 × 71 × 146 ) / 2

LCM(46,71,146) = 476836 / 2

LCM(46,71,146) = 238418


Lets's calculate GCF of 42,66,796

2 42, 66, 796
21, 33, 398

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238418/2

Therefore the LCM of Fractions 46/42,71/66,146/796 is 119209

Greatest Common Factor of 42,66,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,66,796 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 42,66,796 . The biggest common factor number is the GCF number.
So the greatest common factor 42,66,796 is 2.


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 46/42, 71/66, 146/796

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 46/42, 71/66, 146/796?

Answer: LCM of Numerators as per given numbers 46/42, 71/66, 146/796 is

LCM of Numerators i.e. for 46,71,146 is 238418

GCF of denominators i.e. for 42,66,796 is 2.

Thus, LCM of Fractions is 119209.Finally, LCM of Fractions for 46/42, 71/66, 146/796 is 119209.