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LCM of 245, 729, 440, 363, 632

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


Find the LCM of 245, 729, 440, 363, 632 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 245, 729, 440, 363, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 245,729,440,363,632

Given numbers are 245,729,440,363,632

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

The LCM of 245,729,440,363,632 is 13658281560.

Find LCM of 245,729,440,363,632 with Prime Factorization


2 245, 729, 440, 363, 632
2 245, 729, 220, 363, 316
2 245, 729, 110, 363, 158
3 245, 729, 55, 363, 79
5 245, 243, 55, 121, 79
11 49, 243, 11, 121, 79
49, 243, 1, 11, 79

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

2 x 2 x 2 x 3 x 5 x 11 x 49 x 243 x 1 x 11 x 79 = 13658281560

Therefore, the lowest common multiple of 245,729,440,363,632 is 13658281560.

LCM Formula to Find Lowest Common Multiple of 245,729,440,363,632

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.

245 x 729 x 440 x 363 x 632 = 18028931659200

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.

245 : 1, 5, 7, 35, 49, 245

729 : 1, 3, 9, 27, 81, 243, 729

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

363 : 1, 3, 11, 33, 121, 363

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,729,440,363,632, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

729:3x 3x 3x 3x 3x 3

440:2x 2x 2x 5x 11

363:3x 11x 11

632:2x 2x 2x 79

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 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 18028931659200/(1x1320)

LCM = 18028931659200/1320

LCM = 13658281560

Thus, we can understand that the LCM of 245,729,440,363,632 is 13658281560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 245, 729, 440, 363, 632

1. What is the LCM of 245, 729, 440, 363, 632?

Answer: LCM of 245, 729, 440, 363, 632 is 13658281560.

2. How to calculate the LCM of 245, 729, 440, 363, 632?

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 245, 729, 440, 363, 632.

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}.