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LCM of 780, 944, 336, 701, 828

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


Find the LCM of 780, 944, 336, 701, 828 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 780, 944, 336, 701, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 780,944,336,701,828

Given numbers are 780,944,336,701,828

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

The LCM of 780,944,336,701,828 is 62326358640.

Find LCM of 780,944,336,701,828 with Prime Factorization


2 780, 944, 336, 701, 828
2 390, 472, 168, 701, 414
2 195, 236, 84, 701, 207
2 195, 118, 42, 701, 207
3 195, 59, 21, 701, 207
65, 59, 7, 701, 69

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

2 x 2 x 2 x 2 x 3 x 65 x 59 x 7 x 701 x 69 = 62326358640

Therefore, the lowest common multiple of 780,944,336,701,828 is 62326358640.

LCM Formula to Find Lowest Common Multiple of 780,944,336,701,828

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.

780 x 944 x 336 x 701 x 828 = 143599930306560

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.

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

701 : 1, 701

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,944,336,701,828, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

944:2x 2x 2x 2x 59

336:2x 2x 2x 2x 3x 7

701:701

828:2x 2x 3x 3x 23

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 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 143599930306560/(1x2304)

LCM = 143599930306560/2304

LCM = 62326358640

Thus, we can understand that the LCM of 780,944,336,701,828 is 62326358640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 780, 944, 336, 701, 828

1. What is the LCM of 780, 944, 336, 701, 828?

Answer: LCM of 780, 944, 336, 701, 828 is 62326358640.

2. How to calculate the LCM of 780, 944, 336, 701, 828?

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 780, 944, 336, 701, 828.

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}.