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LCM of 738, 268, 352, 925, 902

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


Find the LCM of 738, 268, 352, 925, 902 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 738, 268, 352, 925, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 738,268,352,925,902

Given numbers are 738,268,352,925,902

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

The LCM of 738,268,352,925,902 is 8049808800.

Find LCM of 738,268,352,925,902 with Prime Factorization


2 738, 268, 352, 925, 902
2 369, 134, 176, 925, 451
11 369, 67, 88, 925, 451
41 369, 67, 8, 925, 41
9, 67, 8, 925, 1

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

2 x 2 x 11 x 41 x 9 x 67 x 8 x 925 x 1 = 8049808800

Therefore, the lowest common multiple of 738,268,352,925,902 is 8049808800.

LCM Formula to Find Lowest Common Multiple of 738,268,352,925,902

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.

738 x 268 x 352 x 925 x 902 = 58087420300800

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

268 : 1, 2, 4, 67, 134, 268

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

925 : 1, 5, 25, 37, 185, 925

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,268,352,925,902, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

268:2x 2x 67

352:2x 2x 2x 2x 2x 11

925:5x 5x 37

902:2x 11x 41

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 11x 41 = 7216

Therefore, the value for common factors is 7216.

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 = 58087420300800/(1x7216)

LCM = 58087420300800/7216

LCM = 8049808800

Thus, we can understand that the LCM of 738,268,352,925,902 is 8049808800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 738, 268, 352, 925, 902

1. What is the LCM of 738, 268, 352, 925, 902?

Answer: LCM of 738, 268, 352, 925, 902 is 8049808800.

2. How to calculate the LCM of 738, 268, 352, 925, 902?

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 738, 268, 352, 925, 902.

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}.