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LCM of 163, 466, 460, 978

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 163, 466, 460, 978 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 163, 466, 460, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,466,460,978

Given numbers are 163,466,460,978

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 163,466,460,978 is 52411020.

Find LCM of 163,466,460,978 with Prime Factorization


2 163, 466, 460, 978
163 163, 233, 230, 489
1, 233, 230, 3

Multiply the prime numbers at the bottom and the left side.

2 x 163 x 1 x 233 x 230 x 3 = 52411020

Therefore, the lowest common multiple of 163,466,460,978 is 52411020.

LCM Formula to Find Lowest Common Multiple of 163,466,460,978

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

163 x 466 x 460 x 978 = 34171985040

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

163 : 1, 163

466 : 1, 2, 233, 466

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,466,460,978, is 1.

Now, the common factors can be found like this.

163:163

466:2x 233

460:2x 2x 5x 23

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 163 = 652

Therefore, the value for common factors is 652.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 34171985040/(1x652)

LCM = 34171985040/652

LCM = 52411020

Thus, we can understand that the LCM of 163,466,460,978 is 52411020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 466, 460, 978

1. What is the LCM of 163, 466, 460, 978?

Answer: LCM of 163, 466, 460, 978 is 52411020.

2. How to calculate the LCM of 163, 466, 460, 978?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 163, 466, 460, 978.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.