Least Common Multiple of 46/286, 66/160, 237/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/286, 66/160, 237/614 quickly i.e. 59961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/286, 66/160, 237/614 is 59961.

LCM(46/286, 66/160, 237/614) = 59961

LCM of 46/286, 66/160, 237/614

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 46/286,66/160,237/614

Given numbers are 46/286,66/160,237/614

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 46,66,237

Least Common Multiple of Numerators i.e. LCM of 46,66,237 is 119922.

GCF of Denominators means GCF of 286,160,614 as per the given fractions.

GCF of 286,160,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,66,237

LCM of Fractions 46/286,66/160,237/614 is 59961

2 46, 66, 237
3 23, 33, 237
23, 11, 79

∴ So the LCM of the given numbers is 2 x 3 x 23 x 11 x 79 = 119922

Least Common Multiple of 46,66,237 with GCF Formula

Least Common Multiple of 46,66,237 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 46,66,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,66,237) = 1

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

GCF(46,66,237) x common factors =1 x 6 = 6

LCM(46,66,237) = ( 46 × 66 × 237 ) / 6

LCM(46,66,237) = 719532 / 6

LCM(46,66,237) = 119922


Lets's calculate GCF of 286,160,614

2 286, 160, 614
143, 80, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119922/2

Therefore the LCM of Fractions 46/286,66/160,237/614 is 59961

Greatest Common Factor of 286,160,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,160,614 By Matching Biggest Common Factor Method

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 286,160,614 . The biggest common factor number is the GCF number.
So the greatest common factor 286,160,614 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 46/286, 66/160, 237/614

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 46/286, 66/160, 237/614?

Answer: LCM of Numerators as per given numbers 46/286, 66/160, 237/614 is

LCM of Numerators i.e. for 46,66,237 is 119922

GCF of denominators i.e. for 286,160,614 is 2.

Thus, LCM of Fractions is 59961.Finally, LCM of Fractions for 46/286, 66/160, 237/614 is 59961.