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LCM of 922, 146, 799, 967, 792

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


Find the LCM of 922, 146, 799, 967, 792 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 922, 146, 799, 967, 792. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,146,799,967,792

Given numbers are 922,146,799,967,792

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

The LCM of 922,146,799,967,792 is 20593123332408.

Find LCM of 922,146,799,967,792 with Prime Factorization


2 922, 146, 799, 967, 792
461, 73, 799, 967, 396

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

2 x 461 x 73 x 799 x 967 x 396 = 20593123332408

Therefore, the lowest common multiple of 922,146,799,967,792 is 20593123332408.

LCM Formula to Find Lowest Common Multiple of 922,146,799,967,792

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.

922 x 146 x 799 x 967 x 792 = 82372493329632

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.

922 : 1, 2, 461, 922

146 : 1, 2, 73, 146

799 : 1, 17, 47, 799

967 : 1, 967

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,146,799,967,792, is 1.

Now, the common factors can be found like this.

922:2x 461

146:2x 73

799:17x 47

967:967

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

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 = 82372493329632/(1x4)

LCM = 82372493329632/4

LCM = 20593123332408

Thus, we can understand that the LCM of 922,146,799,967,792 is 20593123332408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 146, 799, 967, 792

1. What is the LCM of 922, 146, 799, 967, 792?

Answer: LCM of 922, 146, 799, 967, 792 is 20593123332408.

2. How to calculate the LCM of 922, 146, 799, 967, 792?

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 922, 146, 799, 967, 792.

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}.