Least Common Multiple of 823/51, 326/88, 320/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/51, 326/88, 320/520 quickly i.e. 42927680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/51, 326/88, 320/520 is 42927680.

LCM(823/51, 326/88, 320/520) = 42927680

LCM of 823/51, 326/88, 320/520

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 823/51,326/88,320/520

Given numbers are 823/51,326/88,320/520

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 823,326,320

Least Common Multiple of Numerators i.e. LCM of 823,326,320 is 42927680.

GCF of Denominators means GCF of 51,88,520 as per the given fractions.

GCF of 51,88,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,326,320

LCM of Fractions 823/51,326/88,320/520 is 42927680

2 823, 326, 320
823, 163, 160

∴ So the LCM of the given numbers is 2 x 823 x 163 x 160 = 42927680

Least Common Multiple of 823,326,320 with GCF Formula

Least Common Multiple of 823,326,320 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 823,326,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,326,320) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(823,326,320) x common factors =1 x 2 = 2

LCM(823,326,320) = ( 823 × 326 × 320 ) / 2

LCM(823,326,320) = 85855360 / 2

LCM(823,326,320) = 42927680


Lets's calculate GCF of 51,88,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42927680/1

Therefore the LCM of Fractions 823/51,326/88,320/520 is 42927680

Greatest Common Factor of 51,88,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,88,520 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 51,88,520 . The biggest common factor number is the GCF number.
So the greatest common factor 51,88,520 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 823/51, 326/88, 320/520

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 823/51, 326/88, 320/520?

Answer: LCM of Numerators as per given numbers 823/51, 326/88, 320/520 is

LCM of Numerators i.e. for 823,326,320 is 42927680

GCF of denominators i.e. for 51,88,520 is 1.

Thus, LCM of Fractions is 42927680.Finally, LCM of Fractions for 823/51, 326/88, 320/520 is 42927680.