Least Common Multiple of 9536/630, 9856/1841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9536/630, 9856/1841 quickly i.e. 209792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9536/630, 9856/1841 is 209792.

LCM(9536/630, 9856/1841) = 209792

LCM of 9536/630, 9856/1841

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 9536/630,9856/1841

Given numbers are 9536/630,9856/1841

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 9536,9856

Least Common Multiple of Numerators i.e. LCM of 9536,9856 is 1468544.

GCF of Denominators means GCF of 630,1841 as per the given fractions.

GCF of 630,1841 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9536,9856

LCM of Fractions 9536/630,9856/1841 is 209792

2 9536, 9856
2 4768, 4928
2 2384, 2464
2 1192, 1232
2 596, 616
2 298, 308
149, 154

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 149 x 154 = 1468544

Least Common Multiple of 9536,9856 with GCF Formula

Least Common Multiple of 9536,9856 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 9536,9856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9536,9856) = 64

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

GCF(9536,9856) x common factors =64 x 1 = 64

LCM(9536,9856) = ( 9536 × 9856 ) / 64

LCM(9536,9856) = 93986816 / 64

LCM(9536,9856) = 1468544


Lets's calculate GCF of 630,1841

7 630, 1841
90, 263

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1468544/7

Therefore the LCM of Fractions 9536/630,9856/1841 is 209792

Greatest Common Factor of 630,1841 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,1841 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 1841

List of positive integer factors of 1841 that divides 1841 without a remainder.

1,7,263,1841

Greatest Common Factor

We found the factors 630,1841 . The biggest common factor number is the GCF number.
So the greatest common factor 630,1841 is 7.


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 9536/630, 9856/1841

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 9536/630, 9856/1841?

Answer: LCM of Numerators as per given numbers 9536/630, 9856/1841 is

LCM of Numerators i.e. for 9536,9856 is 1468544

GCF of denominators i.e. for 630,1841 is 7.

Thus, LCM of Fractions is 209792.Finally, LCM of Fractions for 9536/630, 9856/1841 is 209792.