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LCM of 792, 374, 282, 858

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


Find the LCM of 792, 374, 282, 858 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 792, 374, 282, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,374,282,858

Given numbers are 792,374,282,858

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

The LCM of 792,374,282,858 is 8226504.

Find LCM of 792,374,282,858 with Prime Factorization


2 792, 374, 282, 858
3 396, 187, 141, 429
11 132, 187, 47, 143
12, 17, 47, 13

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

2 x 3 x 11 x 12 x 17 x 47 x 13 = 8226504

Therefore, the lowest common multiple of 792,374,282,858 is 8226504.

LCM Formula to Find Lowest Common Multiple of 792,374,282,858

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.

792 x 374 x 282 x 858 = 71669302848

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.

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

282 : 1, 2, 3, 6, 47, 94, 141, 282

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,374,282,858, is 2.

Now, the common factors can be found like this.

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

374:2x 11x 17

282:2x 3x 47

858:2x 3x 11x 13

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 3x 3x 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 71669302848/(2x4356)

LCM = 71669302848/8712

LCM = 8226504

Thus, we can understand that the LCM of 792,374,282,858 is 8226504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 374, 282, 858

1. What is the LCM of 792, 374, 282, 858?

Answer: LCM of 792, 374, 282, 858 is 8226504.

2. How to calculate the LCM of 792, 374, 282, 858?

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 792, 374, 282, 858.

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}.