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LCM of 667, 300, 828, 214, 365

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


Find the LCM of 667, 300, 828, 214, 365 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 667, 300, 828, 214, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,300,828,214,365

Given numbers are 667,300,828,214,365

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

The LCM of 667,300,828,214,365 is 4688943300.

Find LCM of 667,300,828,214,365 with Prime Factorization


2 667, 300, 828, 214, 365
2 667, 150, 414, 107, 365
3 667, 75, 207, 107, 365
5 667, 25, 69, 107, 365
23 667, 5, 69, 107, 73
29, 5, 3, 107, 73

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

2 x 2 x 3 x 5 x 23 x 29 x 5 x 3 x 107 x 73 = 4688943300

Therefore, the lowest common multiple of 667,300,828,214,365 is 4688943300.

LCM Formula to Find Lowest Common Multiple of 667,300,828,214,365

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.

667 x 300 x 828 x 214 x 365 = 12941483508000

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.

667 : 1, 23, 29, 667

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

214 : 1, 2, 107, 214

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,300,828,214,365, is 1.

Now, the common factors can be found like this.

667:23x 29

300:2x 2x 3x 5x 5

828:2x 2x 3x 3x 23

214:2x 107

365:5x 73

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 23 = 2760

Therefore, the value for common factors is 2760.

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 = 12941483508000/(1x2760)

LCM = 12941483508000/2760

LCM = 4688943300

Thus, we can understand that the LCM of 667,300,828,214,365 is 4688943300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 300, 828, 214, 365

1. What is the LCM of 667, 300, 828, 214, 365?

Answer: LCM of 667, 300, 828, 214, 365 is 4688943300.

2. How to calculate the LCM of 667, 300, 828, 214, 365?

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 667, 300, 828, 214, 365.

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}.