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LCM of 905, 204, 500, 780

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


Find the LCM of 905, 204, 500, 780 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 905, 204, 500, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,204,500,780

Given numbers are 905,204,500,780

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

The LCM of 905,204,500,780 is 60001500.

Find LCM of 905,204,500,780 with Prime Factorization


2 905, 204, 500, 780
2 905, 102, 250, 390
3 905, 51, 125, 195
5 905, 17, 125, 65
181, 17, 25, 13

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

2 x 2 x 3 x 5 x 181 x 17 x 25 x 13 = 60001500

Therefore, the lowest common multiple of 905,204,500,780 is 60001500.

LCM Formula to Find Lowest Common Multiple of 905,204,500,780

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.

905 x 204 x 500 x 780 = 72001800000

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.

905 : 1, 5, 181, 905

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,204,500,780, is 1.

Now, the common factors can be found like this.

905:5x 181

204:2x 2x 3x 17

500:2x 2x 5x 5x 5

780:2x 2x 3x 5x 13

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 2x 2x 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 72001800000/(1x1200)

LCM = 72001800000/1200

LCM = 60001500

Thus, we can understand that the LCM of 905,204,500,780 is 60001500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 204, 500, 780

1. What is the LCM of 905, 204, 500, 780?

Answer: LCM of 905, 204, 500, 780 is 60001500.

2. How to calculate the LCM of 905, 204, 500, 780?

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 905, 204, 500, 780.

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}.