Least Common Multiple of 46/82, 84/74, 926/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/82, 84/74, 926/963 quickly i.e. 894516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/82, 84/74, 926/963 is 894516.

LCM(46/82, 84/74, 926/963) = 894516

LCM of 46/82, 84/74, 926/963

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 46/82,84/74,926/963

Given numbers are 46/82,84/74,926/963

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 46,84,926

Least Common Multiple of Numerators i.e. LCM of 46,84,926 is 894516.

GCF of Denominators means GCF of 82,74,963 as per the given fractions.

GCF of 82,74,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,84,926

LCM of Fractions 46/82,84/74,926/963 is 894516

2 46, 84, 926
23, 42, 463

∴ So the LCM of the given numbers is 2 x 23 x 42 x 463 = 894516

Least Common Multiple of 46,84,926 with GCF Formula

Least Common Multiple of 46,84,926 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 46,84,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,84,926) = 2

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

GCF(46,84,926) x common factors =2 x 2 = 4

LCM(46,84,926) = ( 46 × 84 × 926 ) / 4

LCM(46,84,926) = 3578064 / 4

LCM(46,84,926) = 894516


Lets's calculate GCF of 82,74,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 894516/1

Therefore the LCM of Fractions 46/82,84/74,926/963 is 894516

Greatest Common Factor of 82,74,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,74,963 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 82,74,963 . The biggest common factor number is the GCF number.
So the greatest common factor 82,74,963 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 46/82, 84/74, 926/963

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 46/82, 84/74, 926/963?

Answer: LCM of Numerators as per given numbers 46/82, 84/74, 926/963 is

LCM of Numerators i.e. for 46,84,926 is 894516

GCF of denominators i.e. for 82,74,963 is 1.

Thus, LCM of Fractions is 894516.Finally, LCM of Fractions for 46/82, 84/74, 926/963 is 894516.