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LCM of 535, 500, 894, 289, 406

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


Find the LCM of 535, 500, 894, 289, 406 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 535, 500, 894, 289, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,500,894,289,406

Given numbers are 535,500,894,289,406

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

The LCM of 535,500,894,289,406 is 1402991971500.

Find LCM of 535,500,894,289,406 with Prime Factorization


2 535, 500, 894, 289, 406
5 535, 250, 447, 289, 203
107, 50, 447, 289, 203

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

2 x 5 x 107 x 50 x 447 x 289 x 203 = 1402991971500

Therefore, the lowest common multiple of 535,500,894,289,406 is 1402991971500.

LCM Formula to Find Lowest Common Multiple of 535,500,894,289,406

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.

535 x 500 x 894 x 289 x 406 = 28059839430000

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.

535 : 1, 5, 107, 535

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

894 : 1, 2, 3, 6, 149, 298, 447, 894

289 : 1, 17, 289

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,500,894,289,406, is 1.

Now, the common factors can be found like this.

535:5x 107

500:2x 2x 5x 5x 5

894:2x 3x 149

289:17x 17

406:2x 7x 29

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 5 = 20

Therefore, the value for common factors is 20.

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 = 28059839430000/(1x20)

LCM = 28059839430000/20

LCM = 1402991971500

Thus, we can understand that the LCM of 535,500,894,289,406 is 1402991971500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 500, 894, 289, 406

1. What is the LCM of 535, 500, 894, 289, 406?

Answer: LCM of 535, 500, 894, 289, 406 is 1402991971500.

2. How to calculate the LCM of 535, 500, 894, 289, 406?

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 535, 500, 894, 289, 406.

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}.