Least Common Multiple of 46/11, 574/62, 996/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/11, 574/62, 996/132 quickly i.e. 6574596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/11, 574/62, 996/132 is 6574596.

LCM(46/11, 574/62, 996/132) = 6574596

LCM of 46/11, 574/62, 996/132

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 46/11,574/62,996/132

Given numbers are 46/11,574/62,996/132

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 46,574,996

Least Common Multiple of Numerators i.e. LCM of 46,574,996 is 6574596.

GCF of Denominators means GCF of 11,62,132 as per the given fractions.

GCF of 11,62,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,574,996

LCM of Fractions 46/11,574/62,996/132 is 6574596

2 46, 574, 996
23, 287, 498

∴ So the LCM of the given numbers is 2 x 23 x 287 x 498 = 6574596

Least Common Multiple of 46,574,996 with GCF Formula

Least Common Multiple of 46,574,996 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 46,574,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,574,996) = 2

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

GCF(46,574,996) x common factors =2 x 2 = 4

LCM(46,574,996) = ( 46 × 574 × 996 ) / 4

LCM(46,574,996) = 26298384 / 4

LCM(46,574,996) = 6574596


Lets's calculate GCF of 11,62,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6574596/1

Therefore the LCM of Fractions 46/11,574/62,996/132 is 6574596

Greatest Common Factor of 11,62,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,62,132 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 11,62,132 . The biggest common factor number is the GCF number.
So the greatest common factor 11,62,132 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 46/11, 574/62, 996/132

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 46/11, 574/62, 996/132?

Answer: LCM of Numerators as per given numbers 46/11, 574/62, 996/132 is

LCM of Numerators i.e. for 46,574,996 is 6574596

GCF of denominators i.e. for 11,62,132 is 1.

Thus, LCM of Fractions is 6574596.Finally, LCM of Fractions for 46/11, 574/62, 996/132 is 6574596.