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LCM of 792, 812, 684, 207, 748

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


Find the LCM of 792, 812, 684, 207, 748 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, 812, 684, 207, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,812,684,207,748

Given numbers are 792,812,684,207,748

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

The LCM of 792,812,684,207,748 is 1194404904.

Find LCM of 792,812,684,207,748 with Prime Factorization


2 792, 812, 684, 207, 748
2 396, 406, 342, 207, 374
3 198, 203, 171, 207, 187
3 66, 203, 57, 69, 187
11 22, 203, 19, 23, 187
2, 203, 19, 23, 17

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

2 x 2 x 3 x 3 x 11 x 2 x 203 x 19 x 23 x 17 = 1194404904

Therefore, the lowest common multiple of 792,812,684,207,748 is 1194404904.

LCM Formula to Find Lowest Common Multiple of 792,812,684,207,748

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 812 x 684 x 207 x 748 = 68109745245696

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

207 : 1, 3, 9, 23, 69, 207

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,812,684,207,748, is 1.

Now, the common factors can be found like this.

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

812:2x 2x 7x 29

684:2x 2x 3x 3x 19

207:3x 3x 23

748:2x 2x 11x 17

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 3x 3x 3x 3x 11 = 57024

Therefore, the value for common factors is 57024.

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 = 68109745245696/(1x57024)

LCM = 68109745245696/57024

LCM = 1194404904

Thus, we can understand that the LCM of 792,812,684,207,748 is 1194404904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 812, 684, 207, 748

1. What is the LCM of 792, 812, 684, 207, 748?

Answer: LCM of 792, 812, 684, 207, 748 is 1194404904.

2. How to calculate the LCM of 792, 812, 684, 207, 748?

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, 812, 684, 207, 748.

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}.