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LCM of 103, 620, 315, 960, 885

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


Find the LCM of 103, 620, 315, 960, 885 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 103, 620, 315, 960, 885. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,620,315,960,885

Given numbers are 103,620,315,960,885

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

The LCM of 103,620,315,960,885 is 3797881920.

Find LCM of 103,620,315,960,885 with Prime Factorization


2 103, 620, 315, 960, 885
2 103, 310, 315, 480, 885
3 103, 155, 315, 240, 885
5 103, 155, 105, 80, 295
103, 31, 21, 16, 59

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

2 x 2 x 3 x 5 x 103 x 31 x 21 x 16 x 59 = 3797881920

Therefore, the lowest common multiple of 103,620,315,960,885 is 3797881920.

LCM Formula to Find Lowest Common Multiple of 103,620,315,960,885

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.

103 x 620 x 315 x 960 x 885 = 17090468640000

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.

103 : 1, 103

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

885 : 1, 3, 5, 15, 59, 177, 295, 885

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,620,315,960,885, is 1.

Now, the common factors can be found like this.

103:103

620:2x 2x 5x 31

315:3x 3x 5x 7

960:2x 2x 2x 2x 2x 2x 3x 5

885:3x 5x 59

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 3x 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 17090468640000/(1x4500)

LCM = 17090468640000/4500

LCM = 3797881920

Thus, we can understand that the LCM of 103,620,315,960,885 is 3797881920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 620, 315, 960, 885

1. What is the LCM of 103, 620, 315, 960, 885?

Answer: LCM of 103, 620, 315, 960, 885 is 3797881920.

2. How to calculate the LCM of 103, 620, 315, 960, 885?

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 103, 620, 315, 960, 885.

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}.