Least Common Multiple of 33/820, 85/750, 758/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/820, 85/750, 758/416 quickly i.e. 1063095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/820, 85/750, 758/416 is 1063095.

LCM(33/820, 85/750, 758/416) = 1063095

LCM of 33/820, 85/750, 758/416

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 33/820,85/750,758/416

Given numbers are 33/820,85/750,758/416

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 33,85,758

Least Common Multiple of Numerators i.e. LCM of 33,85,758 is 2126190.

GCF of Denominators means GCF of 820,750,416 as per the given fractions.

GCF of 820,750,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,85,758

LCM of Fractions 33/820,85/750,758/416 is 1063095

Given numbers has no common factors except 1. So, there LCM is their product i.e 2126190

Least Common Multiple of 33,85,758 with GCF Formula

Least Common Multiple of 33,85,758 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 33,85,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,85,758) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(33,85,758) x common factors =1 x 1 = 1

LCM(33,85,758) = ( 33 × 85 × 758 ) / 1

LCM(33,85,758) = 2126190 / 1

LCM(33,85,758) = 2126190


Lets's calculate GCF of 820,750,416

2 820, 750, 416
410, 375, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2126190/2

Therefore the LCM of Fractions 33/820,85/750,758/416 is 1063095

Greatest Common Factor of 820,750,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,750,416 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 820,750,416 . The biggest common factor number is the GCF number.
So the greatest common factor 820,750,416 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 33/820, 85/750, 758/416

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 33/820, 85/750, 758/416?

Answer: LCM of Numerators as per given numbers 33/820, 85/750, 758/416 is

LCM of Numerators i.e. for 33,85,758 is 2126190

GCF of denominators i.e. for 820,750,416 is 2.

Thus, LCM of Fractions is 1063095.Finally, LCM of Fractions for 33/820, 85/750, 758/416 is 1063095.