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LCM of 261, 780, 600, 964

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


Find the LCM of 261, 780, 600, 964 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 261, 780, 600, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 261,780,600,964

Given numbers are 261,780,600,964

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

The LCM of 261,780,600,964 is 163542600.

Find LCM of 261,780,600,964 with Prime Factorization


2 261, 780, 600, 964
2 261, 390, 300, 482
3 261, 195, 150, 241
5 87, 65, 50, 241
87, 13, 10, 241

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

2 x 2 x 3 x 5 x 87 x 13 x 10 x 241 = 163542600

Therefore, the lowest common multiple of 261,780,600,964 is 163542600.

LCM Formula to Find Lowest Common Multiple of 261,780,600,964

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.

261 x 780 x 600 x 964 = 117750672000

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.

261 : 1, 3, 9, 29, 87, 261

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,780,600,964, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

780:2x 2x 3x 5x 13

600:2x 2x 2x 3x 5x 5

964:2x 2x 241

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 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 117750672000/(1x720)

LCM = 117750672000/720

LCM = 163542600

Thus, we can understand that the LCM of 261,780,600,964 is 163542600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 261, 780, 600, 964

1. What is the LCM of 261, 780, 600, 964?

Answer: LCM of 261, 780, 600, 964 is 163542600.

2. How to calculate the LCM of 261, 780, 600, 964?

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 261, 780, 600, 964.

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}.