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LCM of 897, 748, 525, 362, 845

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


Find the LCM of 897, 748, 525, 362, 845 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 897, 748, 525, 362, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,748,525,362,845

Given numbers are 897,748,525,362,845

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

The LCM of 897,748,525,362,845 is 276282906900.

Find LCM of 897,748,525,362,845 with Prime Factorization


2 897, 748, 525, 362, 845
3 897, 374, 525, 181, 845
5 299, 374, 175, 181, 845
13 299, 374, 35, 181, 169
23, 374, 35, 181, 13

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

2 x 3 x 5 x 13 x 23 x 374 x 35 x 181 x 13 = 276282906900

Therefore, the lowest common multiple of 897,748,525,362,845 is 276282906900.

LCM Formula to Find Lowest Common Multiple of 897,748,525,362,845

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.

897 x 748 x 525 x 362 x 845 = 107750333691000

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.

897 : 1, 3, 13, 23, 39, 69, 299, 897

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

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

362 : 1, 2, 181, 362

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,748,525,362,845, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

748:2x 2x 11x 17

525:3x 5x 5x 7

362:2x 181

845:5x 13x 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 3x 5x 13 = 390

Therefore, the value for common factors is 390.

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 = 107750333691000/(1x390)

LCM = 107750333691000/390

LCM = 276282906900

Thus, we can understand that the LCM of 897,748,525,362,845 is 276282906900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 748, 525, 362, 845

1. What is the LCM of 897, 748, 525, 362, 845?

Answer: LCM of 897, 748, 525, 362, 845 is 276282906900.

2. How to calculate the LCM of 897, 748, 525, 362, 845?

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 897, 748, 525, 362, 845.

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}.