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LCM of 395, 792, 787, 428

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


Find the LCM of 395, 792, 787, 428 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 395, 792, 787, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,792,787,428

Given numbers are 395,792,787,428

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

The LCM of 395,792,787,428 is 26343943560.

Find LCM of 395,792,787,428 with Prime Factorization


2 395, 792, 787, 428
2 395, 396, 787, 214
395, 198, 787, 107

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

2 x 2 x 395 x 198 x 787 x 107 = 26343943560

Therefore, the lowest common multiple of 395,792,787,428 is 26343943560.

LCM Formula to Find Lowest Common Multiple of 395,792,787,428

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.

395 x 792 x 787 x 428 = 105375774240

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.

395 : 1, 5, 79, 395

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

787 : 1, 787

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,792,787,428, is 1.

Now, the common factors can be found like this.

395:5x 79

792:2x 2x 2x 3x 3x 11

787:787

428:2x 2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 105375774240/(1x4)

LCM = 105375774240/4

LCM = 26343943560

Thus, we can understand that the LCM of 395,792,787,428 is 26343943560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 792, 787, 428

1. What is the LCM of 395, 792, 787, 428?

Answer: LCM of 395, 792, 787, 428 is 26343943560.

2. How to calculate the LCM of 395, 792, 787, 428?

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 395, 792, 787, 428.

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}.