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LCM of 720, 205, 438, 895, 755

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


Find the LCM of 720, 205, 438, 895, 755 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 720, 205, 438, 895, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,205,438,895,755

Given numbers are 720,205,438,895,755

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

The LCM of 720,205,438,895,755 is 58246413840.

Find LCM of 720,205,438,895,755 with Prime Factorization


2 720, 205, 438, 895, 755
3 360, 205, 219, 895, 755
5 120, 205, 73, 895, 755
24, 41, 73, 179, 151

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

2 x 3 x 5 x 24 x 41 x 73 x 179 x 151 = 58246413840

Therefore, the lowest common multiple of 720,205,438,895,755 is 58246413840.

LCM Formula to Find Lowest Common Multiple of 720,205,438,895,755

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.

720 x 205 x 438 x 895 x 755 = 43684810380000

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

205 : 1, 5, 41, 205

438 : 1, 2, 3, 6, 73, 146, 219, 438

895 : 1, 5, 179, 895

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,205,438,895,755, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

205:5x 41

438:2x 3x 73

895:5x 179

755:5x 151

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 5x 5 = 750

Therefore, the value for common factors is 750.

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 = 43684810380000/(1x750)

LCM = 43684810380000/750

LCM = 58246413840

Thus, we can understand that the LCM of 720,205,438,895,755 is 58246413840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 205, 438, 895, 755

1. What is the LCM of 720, 205, 438, 895, 755?

Answer: LCM of 720, 205, 438, 895, 755 is 58246413840.

2. How to calculate the LCM of 720, 205, 438, 895, 755?

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 720, 205, 438, 895, 755.

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}.