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LCM of 103, 622, 249, 671, 768

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


Find the LCM of 103, 622, 249, 671, 768 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, 622, 249, 671, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,622,249,671,768

Given numbers are 103,622,249,671,768

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

The LCM of 103,622,249,671,768 is 1370122651392.

Find LCM of 103,622,249,671,768 with Prime Factorization


2 103, 622, 249, 671, 768
3 103, 311, 249, 671, 384
103, 311, 83, 671, 128

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

2 x 3 x 103 x 311 x 83 x 671 x 128 = 1370122651392

Therefore, the lowest common multiple of 103,622,249,671,768 is 1370122651392.

LCM Formula to Find Lowest Common Multiple of 103,622,249,671,768

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 622 x 249 x 671 x 768 = 8220735908352

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

622 : 1, 2, 311, 622

249 : 1, 3, 83, 249

671 : 1, 11, 61, 671

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,622,249,671,768, is 1.

Now, the common factors can be found like this.

103:103

622:2x 311

249:3x 83

671:11x 61

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8220735908352/(1x6)

LCM = 8220735908352/6

LCM = 1370122651392

Thus, we can understand that the LCM of 103,622,249,671,768 is 1370122651392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 622, 249, 671, 768

1. What is the LCM of 103, 622, 249, 671, 768?

Answer: LCM of 103, 622, 249, 671, 768 is 1370122651392.

2. How to calculate the LCM of 103, 622, 249, 671, 768?

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, 622, 249, 671, 768.

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}.