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LCM of 513, 959, 236, 784

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


Find the LCM of 513, 959, 236, 784 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 513, 959, 236, 784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,959,236,784

Given numbers are 513,959,236,784

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

The LCM of 513,959,236,784 is 3250917936.

Find LCM of 513,959,236,784 with Prime Factorization


2 513, 959, 236, 784
2 513, 959, 118, 392
7 513, 959, 59, 196
513, 137, 59, 28

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

2 x 2 x 7 x 513 x 137 x 59 x 28 = 3250917936

Therefore, the lowest common multiple of 513,959,236,784 is 3250917936.

LCM Formula to Find Lowest Common Multiple of 513,959,236,784

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.

513 x 959 x 236 x 784 = 91025702208

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

959 : 1, 7, 137, 959

236 : 1, 2, 4, 59, 118, 236

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,959,236,784, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

959:7x 137

236:2x 2x 59

784:2x 2x 2x 2x 7x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 91025702208/(1x28)

LCM = 91025702208/28

LCM = 3250917936

Thus, we can understand that the LCM of 513,959,236,784 is 3250917936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 959, 236, 784

1. What is the LCM of 513, 959, 236, 784?

Answer: LCM of 513, 959, 236, 784 is 3250917936.

2. How to calculate the LCM of 513, 959, 236, 784?

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 513, 959, 236, 784.

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}.