Least Common Multiple of 352/111, 632/963, 833/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 352/111, 632/963, 833/300 quickly i.e. 23164064/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/111, 632/963, 833/300 is 23164064/3.

LCM(352/111, 632/963, 833/300) = 23164064/3

LCM of 352/111, 632/963, 833/300

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 352/111,632/963,833/300

Given numbers are 352/111,632/963,833/300

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 352,632,833

Least Common Multiple of Numerators i.e. LCM of 352,632,833 is 23164064.

GCF of Denominators means GCF of 111,963,300 as per the given fractions.

GCF of 111,963,300 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,632,833

LCM of Fractions 352/111,632/963,833/300 is 23164064/3

2 352, 632, 833
2 176, 316, 833
2 88, 158, 833
44, 79, 833

∴ So the LCM of the given numbers is 2 x 2 x 2 x 44 x 79 x 833 = 23164064

Least Common Multiple of 352,632,833 with GCF Formula

Least Common Multiple of 352,632,833 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 352,632,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,632,833) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(352,632,833) x common factors =1 x 8 = 8

LCM(352,632,833) = ( 352 × 632 × 833 ) / 8

LCM(352,632,833) = 185312512 / 8

LCM(352,632,833) = 23164064


Lets's calculate GCF of 111,963,300

3 111, 963, 300
37, 321, 100

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23164064/3

Therefore the LCM of Fractions 352/111,632/963,833/300 is 23164064/3

Greatest Common Factor of 111,963,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,963,300 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 963

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

1,3,9,107,321,963

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 111,963,300 . The biggest common factor number is the GCF number.
So the greatest common factor 111,963,300 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 352/111, 632/963, 833/300

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 352/111, 632/963, 833/300?

Answer: LCM of Numerators as per given numbers 352/111, 632/963, 833/300 is

LCM of Numerators i.e. for 352,632,833 is 23164064

GCF of denominators i.e. for 111,963,300 is 3.

Thus, LCM of Fractions is 23164064/3.Finally, LCM of Fractions for 352/111, 632/963, 833/300 is 23164064/3.