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LCM of 653, 897, 329, 414

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


Find the LCM of 653, 897, 329, 414 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 653, 897, 329, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,897,329,414

Given numbers are 653,897,329,414

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

The LCM of 653,897,329,414 is 1156252734.

Find LCM of 653,897,329,414 with Prime Factorization


3 653, 897, 329, 414
23 653, 299, 329, 138
653, 13, 329, 6

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

3 x 23 x 653 x 13 x 329 x 6 = 1156252734

Therefore, the lowest common multiple of 653,897,329,414 is 1156252734.

LCM Formula to Find Lowest Common Multiple of 653,897,329,414

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.

653 x 897 x 329 x 414 = 79781438646

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.

653 : 1, 653

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

329 : 1, 7, 47, 329

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,897,329,414, is 1.

Now, the common factors can be found like this.

653:653

897:3x 13x 23

329:7x 47

414:2x 3x 3x 23

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

3x 23 = 69

Therefore, the value for common factors is 69.

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 = 79781438646/(1x69)

LCM = 79781438646/69

LCM = 1156252734

Thus, we can understand that the LCM of 653,897,329,414 is 1156252734.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 897, 329, 414

1. What is the LCM of 653, 897, 329, 414?

Answer: LCM of 653, 897, 329, 414 is 1156252734.

2. How to calculate the LCM of 653, 897, 329, 414?

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 653, 897, 329, 414.

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}.