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LCM of 245, 110, 810, 440, 842

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


Find the LCM of 245, 110, 810, 440, 842 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, 110, 810, 440, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 245,110,810,440,842

Given numbers are 245,110,810,440,842

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

The LCM of 245,110,810,440,842 is 735217560.

Find LCM of 245,110,810,440,842 with Prime Factorization


2 245, 110, 810, 440, 842
5 245, 55, 405, 220, 421
11 49, 11, 81, 44, 421
49, 1, 81, 4, 421

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

2 x 5 x 11 x 49 x 1 x 81 x 4 x 421 = 735217560

Therefore, the lowest common multiple of 245,110,810,440,842 is 735217560.

LCM Formula to Find Lowest Common Multiple of 245,110,810,440,842

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 110 x 810 x 440 x 842 = 8087393160000

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,110,810,440,842, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

110:2x 5x 11

810:2x 3x 3x 3x 3x 5

440:2x 2x 2x 5x 11

842:2x 421

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 5x 5x 5x 11 = 11000

Therefore, the value for common factors is 11000.

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 = 8087393160000/(1x11000)

LCM = 8087393160000/11000

LCM = 735217560

Thus, we can understand that the LCM of 245,110,810,440,842 is 735217560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 245, 110, 810, 440, 842

1. What is the LCM of 245, 110, 810, 440, 842?

Answer: LCM of 245, 110, 810, 440, 842 is 735217560.

2. How to calculate the LCM of 245, 110, 810, 440, 842?

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, 110, 810, 440, 842.

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}.