Least Common Multiple of 34/820, 211/283, 578/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/820, 211/283, 578/881 quickly i.e. 121958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/820, 211/283, 578/881 is 121958.

LCM(34/820, 211/283, 578/881) = 121958

LCM of 34/820, 211/283, 578/881

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 34/820,211/283,578/881

Given numbers are 34/820,211/283,578/881

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 34,211,578

Least Common Multiple of Numerators i.e. LCM of 34,211,578 is 121958.

GCF of Denominators means GCF of 820,283,881 as per the given fractions.

GCF of 820,283,881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,211,578

LCM of Fractions 34/820,211/283,578/881 is 121958

2 34, 211, 578
17 17, 211, 289
1, 211, 17

∴ So the LCM of the given numbers is 2 x 17 x 1 x 211 x 17 = 121958

Least Common Multiple of 34,211,578 with GCF Formula

Least Common Multiple of 34,211,578 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 34,211,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,211,578) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(34,211,578) x common factors =1 x 34 = 34

LCM(34,211,578) = ( 34 × 211 × 578 ) / 34

LCM(34,211,578) = 4146572 / 34

LCM(34,211,578) = 121958


Lets's calculate GCF of 820,283,881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121958/1

Therefore the LCM of Fractions 34/820,211/283,578/881 is 121958

Greatest Common Factor of 820,283,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,283,881 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 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 820,283,881 . The biggest common factor number is the GCF number.
So the greatest common factor 820,283,881 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 34/820, 211/283, 578/881

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 34/820, 211/283, 578/881?

Answer: LCM of Numerators as per given numbers 34/820, 211/283, 578/881 is

LCM of Numerators i.e. for 34,211,578 is 121958

GCF of denominators i.e. for 820,283,881 is 1.

Thus, LCM of Fractions is 121958.Finally, LCM of Fractions for 34/820, 211/283, 578/881 is 121958.