Least Common Multiple of 46/727, 456/603, 642/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/727, 456/603, 642/649 quickly i.e. 1122216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/727, 456/603, 642/649 is 1122216.

LCM(46/727, 456/603, 642/649) = 1122216

LCM of 46/727, 456/603, 642/649

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 46/727,456/603,642/649

Given numbers are 46/727,456/603,642/649

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 46,456,642

Least Common Multiple of Numerators i.e. LCM of 46,456,642 is 1122216.

GCF of Denominators means GCF of 727,603,649 as per the given fractions.

GCF of 727,603,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,456,642

LCM of Fractions 46/727,456/603,642/649 is 1122216

2 46, 456, 642
3 23, 228, 321
23, 76, 107

∴ So the LCM of the given numbers is 2 x 3 x 23 x 76 x 107 = 1122216

Least Common Multiple of 46,456,642 with GCF Formula

Least Common Multiple of 46,456,642 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 46,456,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,456,642) = 2

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

GCF(46,456,642) x common factors =2 x 6 = 12

LCM(46,456,642) = ( 46 × 456 × 642 ) / 12

LCM(46,456,642) = 13466592 / 12

LCM(46,456,642) = 1122216


Lets's calculate GCF of 727,603,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1122216/1

Therefore the LCM of Fractions 46/727,456/603,642/649 is 1122216

Greatest Common Factor of 727,603,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,603,649 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 727,603,649 . The biggest common factor number is the GCF number.
So the greatest common factor 727,603,649 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 46/727, 456/603, 642/649

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 46/727, 456/603, 642/649?

Answer: LCM of Numerators as per given numbers 46/727, 456/603, 642/649 is

LCM of Numerators i.e. for 46,456,642 is 1122216

GCF of denominators i.e. for 727,603,649 is 1.

Thus, LCM of Fractions is 1122216.Finally, LCM of Fractions for 46/727, 456/603, 642/649 is 1122216.