Least Common Multiple of 424/644, 9805/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/644, 9805/526 quickly i.e. 39220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/644, 9805/526 is 39220.

LCM(424/644, 9805/526) = 39220

LCM of 424/644, 9805/526

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 424/644,9805/526

Given numbers are 424/644,9805/526

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 424,9805

Least Common Multiple of Numerators i.e. LCM of 424,9805 is 78440.

GCF of Denominators means GCF of 644,526 as per the given fractions.

GCF of 644,526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,9805

LCM of Fractions 424/644,9805/526 is 39220

53 424, 9805
8, 185

∴ So the LCM of the given numbers is 53 x 8 x 185 = 78440

Least Common Multiple of 424,9805 with GCF Formula

Least Common Multiple of 424,9805 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 424,9805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,9805) = 53

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

GCF(424,9805) x common factors =53 x 1 = 53

LCM(424,9805) = ( 424 × 9805 ) / 53

LCM(424,9805) = 4157320 / 53

LCM(424,9805) = 78440


Lets's calculate GCF of 644,526

2 644, 526
322, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78440/2

Therefore the LCM of Fractions 424/644,9805/526 is 39220

Greatest Common Factor of 644,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,526 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 644,526 . The biggest common factor number is the GCF number.
So the greatest common factor 644,526 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 424/644, 9805/526

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 424/644, 9805/526?

Answer: LCM of Numerators as per given numbers 424/644, 9805/526 is

LCM of Numerators i.e. for 424,9805 is 78440

GCF of denominators i.e. for 644,526 is 2.

Thus, LCM of Fractions is 39220.Finally, LCM of Fractions for 424/644, 9805/526 is 39220.