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LCM of 902, 807, 321, 559, 545

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


Find the LCM of 902, 807, 321, 559, 545 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 902, 807, 321, 559, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,807,321,559,545

Given numbers are 902,807,321,559,545

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

The LCM of 902,807,321,559,545 is 23728602444690.

Find LCM of 902,807,321,559,545 with Prime Factorization


3 902, 807, 321, 559, 545
902, 269, 107, 559, 545

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

3 x 902 x 269 x 107 x 559 x 545 = 23728602444690

Therefore, the lowest common multiple of 902,807,321,559,545 is 23728602444690.

LCM Formula to Find Lowest Common Multiple of 902,807,321,559,545

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.

902 x 807 x 321 x 559 x 545 = 71185807334070

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

807 : 1, 3, 269, 807

321 : 1, 3, 107, 321

559 : 1, 13, 43, 559

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,807,321,559,545, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

807:3x 269

321:3x 107

559:13x 43

545:5x 109

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

3 = 3

Therefore, the value for common factors is 3.

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 = 71185807334070/(1x3)

LCM = 71185807334070/3

LCM = 23728602444690

Thus, we can understand that the LCM of 902,807,321,559,545 is 23728602444690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 807, 321, 559, 545

1. What is the LCM of 902, 807, 321, 559, 545?

Answer: LCM of 902, 807, 321, 559, 545 is 23728602444690.

2. How to calculate the LCM of 902, 807, 321, 559, 545?

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 902, 807, 321, 559, 545.

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}.