Least Common Multiple of 55/64, 209/19, 866/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/64, 209/19, 866/834 quickly i.e. 904970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/64, 209/19, 866/834 is 904970.

LCM(55/64, 209/19, 866/834) = 904970

LCM of 55/64, 209/19, 866/834

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 55/64,209/19,866/834

Given numbers are 55/64,209/19,866/834

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 55,209,866

Least Common Multiple of Numerators i.e. LCM of 55,209,866 is 904970.

GCF of Denominators means GCF of 64,19,834 as per the given fractions.

GCF of 64,19,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,209,866

LCM of Fractions 55/64,209/19,866/834 is 904970

11 55, 209, 866
5, 19, 866

∴ So the LCM of the given numbers is 11 x 5 x 19 x 866 = 904970

Least Common Multiple of 55,209,866 with GCF Formula

Least Common Multiple of 55,209,866 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 55,209,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,209,866) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(55,209,866) x common factors =1 x 11 = 11

LCM(55,209,866) = ( 55 × 209 × 866 ) / 11

LCM(55,209,866) = 9954670 / 11

LCM(55,209,866) = 904970


Lets's calculate GCF of 64,19,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 904970/1

Therefore the LCM of Fractions 55/64,209/19,866/834 is 904970

Greatest Common Factor of 64,19,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,19,834 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 64,19,834 . The biggest common factor number is the GCF number.
So the greatest common factor 64,19,834 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/64, 209/19, 866/834

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 55/64, 209/19, 866/834?

Answer: LCM of Numerators as per given numbers 55/64, 209/19, 866/834 is

LCM of Numerators i.e. for 55,209,866 is 904970

GCF of denominators i.e. for 64,19,834 is 1.

Thus, LCM of Fractions is 904970.Finally, LCM of Fractions for 55/64, 209/19, 866/834 is 904970.