Least Common Multiple of 530/834, 816/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/834, 816/144 quickly i.e. 36040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/834, 816/144 is 36040.

LCM(530/834, 816/144) = 36040

LCM of 530/834, 816/144

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 530/834,816/144

Given numbers are 530/834,816/144

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 530,816

Least Common Multiple of Numerators i.e. LCM of 530,816 is 216240.

GCF of Denominators means GCF of 834,144 as per the given fractions.

GCF of 834,144 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,816

LCM of Fractions 530/834,816/144 is 36040

2 530, 816
265, 408

∴ So the LCM of the given numbers is 2 x 265 x 408 = 216240

Least Common Multiple of 530,816 with GCF Formula

Least Common Multiple of 530,816 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 530,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,816) = 2

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

GCF(530,816) x common factors =2 x 1 = 2

LCM(530,816) = ( 530 × 816 ) / 2

LCM(530,816) = 432480 / 2

LCM(530,816) = 216240


Lets's calculate GCF of 834,144

2 834, 144
3 417, 72
139, 24

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216240/6

Therefore the LCM of Fractions 530/834,816/144 is 36040

Greatest Common Factor of 834,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,144 By Matching Biggest Common Factor Method

Factors of 834

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

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

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 834,144 . The biggest common factor number is the GCF number.
So the greatest common factor 834,144 is 6.


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 530/834, 816/144

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 530/834, 816/144?

Answer: LCM of Numerators as per given numbers 530/834, 816/144 is

LCM of Numerators i.e. for 530,816 is 216240

GCF of denominators i.e. for 834,144 is 6.

Thus, LCM of Fractions is 36040.Finally, LCM of Fractions for 530/834, 816/144 is 36040.