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LCM of 784, 383, 291, 366

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


Find the LCM of 784, 383, 291, 366 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 784, 383, 291, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 784,383,291,366

Given numbers are 784,383,291,366

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

The LCM of 784,383,291,366 is 5330128272.

Find LCM of 784,383,291,366 with Prime Factorization


2 784, 383, 291, 366
3 392, 383, 291, 183
392, 383, 97, 61

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

2 x 3 x 392 x 383 x 97 x 61 = 5330128272

Therefore, the lowest common multiple of 784,383,291,366 is 5330128272.

LCM Formula to Find Lowest Common Multiple of 784,383,291,366

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.

784 x 383 x 291 x 366 = 31980769632

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.

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

383 : 1, 383

291 : 1, 3, 97, 291

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,383,291,366, is 1.

Now, the common factors can be found like this.

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

383:383

291:3x 97

366:2x 3x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31980769632/(1x6)

LCM = 31980769632/6

LCM = 5330128272

Thus, we can understand that the LCM of 784,383,291,366 is 5330128272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 784, 383, 291, 366

1. What is the LCM of 784, 383, 291, 366?

Answer: LCM of 784, 383, 291, 366 is 5330128272.

2. How to calculate the LCM of 784, 383, 291, 366?

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 784, 383, 291, 366.

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}.