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LCM of 669, 431, 473, 681, 860

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


Find the LCM of 669, 431, 473, 681, 860 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 669, 431, 473, 681, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,431,473,681,860

Given numbers are 669,431,473,681,860

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

The LCM of 669,431,473,681,860 is 619184935380.

Find LCM of 669,431,473,681,860 with Prime Factorization


3 669, 431, 473, 681, 860
43 223, 431, 473, 227, 860
223, 431, 11, 227, 20

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

3 x 43 x 223 x 431 x 11 x 227 x 20 = 619184935380

Therefore, the lowest common multiple of 669,431,473,681,860 is 619184935380.

LCM Formula to Find Lowest Common Multiple of 669,431,473,681,860

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.

669 x 431 x 473 x 681 x 860 = 79874856664020

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.

669 : 1, 3, 223, 669

431 : 1, 431

473 : 1, 11, 43, 473

681 : 1, 3, 227, 681

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,431,473,681,860, is 1.

Now, the common factors can be found like this.

669:3x 223

431:431

473:11x 43

681:3x 227

860:2x 2x 5x 43

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

3x 43 = 129

Therefore, the value for common factors is 129.

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 = 79874856664020/(1x129)

LCM = 79874856664020/129

LCM = 619184935380

Thus, we can understand that the LCM of 669,431,473,681,860 is 619184935380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 431, 473, 681, 860

1. What is the LCM of 669, 431, 473, 681, 860?

Answer: LCM of 669, 431, 473, 681, 860 is 619184935380.

2. How to calculate the LCM of 669, 431, 473, 681, 860?

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 669, 431, 473, 681, 860.

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}.