Least Common Multiple of 46/21, 545/16, 614/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/21, 545/16, 614/146 quickly i.e. 7696490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/21, 545/16, 614/146 is 7696490.

LCM(46/21, 545/16, 614/146) = 7696490

LCM of 46/21, 545/16, 614/146

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 46/21,545/16,614/146

Given numbers are 46/21,545/16,614/146

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 46,545,614

Least Common Multiple of Numerators i.e. LCM of 46,545,614 is 7696490.

GCF of Denominators means GCF of 21,16,146 as per the given fractions.

GCF of 21,16,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,545,614

LCM of Fractions 46/21,545/16,614/146 is 7696490

2 46, 545, 614
23, 545, 307

∴ So the LCM of the given numbers is 2 x 23 x 545 x 307 = 7696490

Least Common Multiple of 46,545,614 with GCF Formula

Least Common Multiple of 46,545,614 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 46,545,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,545,614) = 1

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

GCF(46,545,614) x common factors =1 x 2 = 2

LCM(46,545,614) = ( 46 × 545 × 614 ) / 2

LCM(46,545,614) = 15392980 / 2

LCM(46,545,614) = 7696490


Lets's calculate GCF of 21,16,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7696490/1

Therefore the LCM of Fractions 46/21,545/16,614/146 is 7696490

Greatest Common Factor of 21,16,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,16,146 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 21,16,146 . The biggest common factor number is the GCF number.
So the greatest common factor 21,16,146 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 46/21, 545/16, 614/146

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 46/21, 545/16, 614/146?

Answer: LCM of Numerators as per given numbers 46/21, 545/16, 614/146 is

LCM of Numerators i.e. for 46,545,614 is 7696490

GCF of denominators i.e. for 21,16,146 is 1.

Thus, LCM of Fractions is 7696490.Finally, LCM of Fractions for 46/21, 545/16, 614/146 is 7696490.