Least Common Multiple of 505/64, 820/2234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/64, 820/2234 quickly i.e. 41410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/64, 820/2234 is 41410.

LCM(505/64, 820/2234) = 41410

LCM of 505/64, 820/2234

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 505/64,820/2234

Given numbers are 505/64,820/2234

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 505,820

Least Common Multiple of Numerators i.e. LCM of 505,820 is 82820.

GCF of Denominators means GCF of 64,2234 as per the given fractions.

GCF of 64,2234 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,820

LCM of Fractions 505/64,820/2234 is 41410

5 505, 820
101, 164

∴ So the LCM of the given numbers is 5 x 101 x 164 = 82820

Least Common Multiple of 505,820 with GCF Formula

Least Common Multiple of 505,820 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 505,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,820) = 5

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

GCF(505,820) x common factors =5 x 1 = 5

LCM(505,820) = ( 505 × 820 ) / 5

LCM(505,820) = 414100 / 5

LCM(505,820) = 82820


Lets's calculate GCF of 64,2234

2 64, 2234
32, 1117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82820/2

Therefore the LCM of Fractions 505/64,820/2234 is 41410

Greatest Common Factor of 64,2234 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,2234 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 2234

List of positive integer factors of 2234 that divides 2234 without a remainder.

1,2,1117,2234

Greatest Common Factor

We found the factors 64,2234 . The biggest common factor number is the GCF number.
So the greatest common factor 64,2234 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 505/64, 820/2234

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 505/64, 820/2234?

Answer: LCM of Numerators as per given numbers 505/64, 820/2234 is

LCM of Numerators i.e. for 505,820 is 82820

GCF of denominators i.e. for 64,2234 is 2.

Thus, LCM of Fractions is 41410.Finally, LCM of Fractions for 505/64, 820/2234 is 41410.