Least Common Multiple of 46/814, 359/654, 928/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/814, 359/654, 928/926 quickly i.e. 3831248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/814, 359/654, 928/926 is 3831248.

LCM(46/814, 359/654, 928/926) = 3831248

LCM of 46/814, 359/654, 928/926

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 46/814,359/654,928/926

Given numbers are 46/814,359/654,928/926

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 46,359,928

Least Common Multiple of Numerators i.e. LCM of 46,359,928 is 7662496.

GCF of Denominators means GCF of 814,654,926 as per the given fractions.

GCF of 814,654,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,359,928

LCM of Fractions 46/814,359/654,928/926 is 3831248

2 46, 359, 928
23, 359, 464

∴ So the LCM of the given numbers is 2 x 23 x 359 x 464 = 7662496

Least Common Multiple of 46,359,928 with GCF Formula

Least Common Multiple of 46,359,928 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 46,359,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,359,928) = 1

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

GCF(46,359,928) x common factors =1 x 2 = 2

LCM(46,359,928) = ( 46 × 359 × 928 ) / 2

LCM(46,359,928) = 15324992 / 2

LCM(46,359,928) = 7662496


Lets's calculate GCF of 814,654,926

2 814, 654, 926
407, 327, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7662496/2

Therefore the LCM of Fractions 46/814,359/654,928/926 is 3831248

Greatest Common Factor of 814,654,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,654,926 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 814,654,926 . The biggest common factor number is the GCF number.
So the greatest common factor 814,654,926 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 46/814, 359/654, 928/926

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 46/814, 359/654, 928/926?

Answer: LCM of Numerators as per given numbers 46/814, 359/654, 928/926 is

LCM of Numerators i.e. for 46,359,928 is 7662496

GCF of denominators i.e. for 814,654,926 is 2.

Thus, LCM of Fractions is 3831248.Finally, LCM of Fractions for 46/814, 359/654, 928/926 is 3831248.