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LCM of 302, 708, 813, 784

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


Find the LCM of 302, 708, 813, 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 302, 708, 813, 784. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,708,813,784

Given numbers are 302,708,813,784

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

The LCM of 302,708,813,784 is 5678525328.

Find LCM of 302,708,813,784 with Prime Factorization


2 302, 708, 813, 784
2 151, 354, 813, 392
3 151, 177, 813, 196
151, 59, 271, 196

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

2 x 2 x 3 x 151 x 59 x 271 x 196 = 5678525328

Therefore, the lowest common multiple of 302,708,813,784 is 5678525328.

LCM Formula to Find Lowest Common Multiple of 302,708,813,784

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.

302 x 708 x 813 x 784 = 136284607872

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.

302 : 1, 2, 151, 302

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

813 : 1, 3, 271, 813

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 302,708,813,784, is 1.

Now, the common factors can be found like this.

302:2x 151

708:2x 2x 3x 59

813:3x 271

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 136284607872/(1x24)

LCM = 136284607872/24

LCM = 5678525328

Thus, we can understand that the LCM of 302,708,813,784 is 5678525328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 708, 813, 784

1. What is the LCM of 302, 708, 813, 784?

Answer: LCM of 302, 708, 813, 784 is 5678525328.

2. How to calculate the LCM of 302, 708, 813, 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 302, 708, 813, 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}.