Least Common Multiple of 66/99, 833/34, 352/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/99, 833/34, 352/584 quickly i.e. 879648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/99, 833/34, 352/584 is 879648.

LCM(66/99, 833/34, 352/584) = 879648

LCM of 66/99, 833/34, 352/584

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 66/99,833/34,352/584

Given numbers are 66/99,833/34,352/584

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 66,833,352

Least Common Multiple of Numerators i.e. LCM of 66,833,352 is 879648.

GCF of Denominators means GCF of 99,34,584 as per the given fractions.

GCF of 99,34,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,833,352

LCM of Fractions 66/99,833/34,352/584 is 879648

2 66, 833, 352
11 33, 833, 176
3, 833, 16

∴ So the LCM of the given numbers is 2 x 11 x 3 x 833 x 16 = 879648

Least Common Multiple of 66,833,352 with GCF Formula

Least Common Multiple of 66,833,352 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 66,833,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,833,352) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(66,833,352) x common factors =1 x 22 = 22

LCM(66,833,352) = ( 66 × 833 × 352 ) / 22

LCM(66,833,352) = 19352256 / 22

LCM(66,833,352) = 879648


Lets's calculate GCF of 99,34,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 879648/1

Therefore the LCM of Fractions 66/99,833/34,352/584 is 879648

Greatest Common Factor of 99,34,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,34,584 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 99,34,584 . The biggest common factor number is the GCF number.
So the greatest common factor 99,34,584 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 66/99, 833/34, 352/584

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 66/99, 833/34, 352/584?

Answer: LCM of Numerators as per given numbers 66/99, 833/34, 352/584 is

LCM of Numerators i.e. for 66,833,352 is 879648

GCF of denominators i.e. for 99,34,584 is 1.

Thus, LCM of Fractions is 879648.Finally, LCM of Fractions for 66/99, 833/34, 352/584 is 879648.