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LCM of 533, 709, 227, 377, 890

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


Find the LCM of 533, 709, 227, 377, 890 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 533, 709, 227, 377, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,709,227,377,890

Given numbers are 533,709,227,377,890

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

The LCM of 533,709,227,377,890 is 2214049396390.

Find LCM of 533,709,227,377,890 with Prime Factorization


13 533, 709, 227, 377, 890
41, 709, 227, 29, 890

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

13 x 41 x 709 x 227 x 29 x 890 = 2214049396390

Therefore, the lowest common multiple of 533,709,227,377,890 is 2214049396390.

LCM Formula to Find Lowest Common Multiple of 533,709,227,377,890

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.

533 x 709 x 227 x 377 x 890 = 28782642153070

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.

533 : 1, 13, 41, 533

709 : 1, 709

227 : 1, 227

377 : 1, 13, 29, 377

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,709,227,377,890, is 1.

Now, the common factors can be found like this.

533:13x 41

709:709

227:227

377:13x 29

890:2x 5x 89

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

13 = 13

Therefore, the value for common factors is 13.

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 = 28782642153070/(1x13)

LCM = 28782642153070/13

LCM = 2214049396390

Thus, we can understand that the LCM of 533,709,227,377,890 is 2214049396390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 709, 227, 377, 890

1. What is the LCM of 533, 709, 227, 377, 890?

Answer: LCM of 533, 709, 227, 377, 890 is 2214049396390.

2. How to calculate the LCM of 533, 709, 227, 377, 890?

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 533, 709, 227, 377, 890.

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}.