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LCM of 316, 938, 819, 445

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


Find the LCM of 316, 938, 819, 445 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 316, 938, 819, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 316,938,819,445

Given numbers are 316,938,819,445

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

The LCM of 316,938,819,445 is 7716241260.

Find LCM of 316,938,819,445 with Prime Factorization


2 316, 938, 819, 445
7 158, 469, 819, 445
158, 67, 117, 445

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

2 x 7 x 158 x 67 x 117 x 445 = 7716241260

Therefore, the lowest common multiple of 316,938,819,445 is 7716241260.

LCM Formula to Find Lowest Common Multiple of 316,938,819,445

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.

316 x 938 x 819 x 445 = 108027377640

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.

316 : 1, 2, 4, 79, 158, 316

938 : 1, 2, 7, 14, 67, 134, 469, 938

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,938,819,445, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

938:2x 7x 67

819:3x 3x 7x 13

445:5x 89

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 108027377640/(1x14)

LCM = 108027377640/14

LCM = 7716241260

Thus, we can understand that the LCM of 316,938,819,445 is 7716241260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 316, 938, 819, 445

1. What is the LCM of 316, 938, 819, 445?

Answer: LCM of 316, 938, 819, 445 is 7716241260.

2. How to calculate the LCM of 316, 938, 819, 445?

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 316, 938, 819, 445.

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}.