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LCM of 890, 699, 407, 481, 859

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


Find the LCM of 890, 699, 407, 481, 859 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 890, 699, 407, 481, 859. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 890,699,407,481,859

Given numbers are 890,699,407,481,859

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

The LCM of 890,699,407,481,859 is 2827470664590.

Find LCM of 890,699,407,481,859 with Prime Factorization


37 890, 699, 407, 481, 859
890, 699, 11, 13, 859

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

37 x 890 x 699 x 11 x 13 x 859 = 2827470664590

Therefore, the lowest common multiple of 890,699,407,481,859 is 2827470664590.

LCM Formula to Find Lowest Common Multiple of 890,699,407,481,859

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.

890 x 699 x 407 x 481 x 859 = 104616414589830

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.

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

699 : 1, 3, 233, 699

407 : 1, 11, 37, 407

481 : 1, 13, 37, 481

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,699,407,481,859, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

699:3x 233

407:11x 37

481:13x 37

859:859

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

37 = 37

Therefore, the value for common factors is 37.

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 = 104616414589830/(1x37)

LCM = 104616414589830/37

LCM = 2827470664590

Thus, we can understand that the LCM of 890,699,407,481,859 is 2827470664590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 890, 699, 407, 481, 859

1. What is the LCM of 890, 699, 407, 481, 859?

Answer: LCM of 890, 699, 407, 481, 859 is 2827470664590.

2. How to calculate the LCM of 890, 699, 407, 481, 859?

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 890, 699, 407, 481, 859.

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}.