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LCM of 437, 806, 902, 563, 516

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


Find the LCM of 437, 806, 902, 563, 516 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 437, 806, 902, 563, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,806,902,563,516

Given numbers are 437,806,902,563,516

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

The LCM of 437,806,902,563,516 is 23073906128988.

Find LCM of 437,806,902,563,516 with Prime Factorization


2 437, 806, 902, 563, 516
437, 403, 451, 563, 258

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

2 x 437 x 403 x 451 x 563 x 258 = 23073906128988

Therefore, the lowest common multiple of 437,806,902,563,516 is 23073906128988.

LCM Formula to Find Lowest Common Multiple of 437,806,902,563,516

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.

437 x 806 x 902 x 563 x 516 = 92295624515952

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.

437 : 1, 19, 23, 437

806 : 1, 2, 13, 26, 31, 62, 403, 806

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

563 : 1, 563

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,806,902,563,516, is 1.

Now, the common factors can be found like this.

437:19x 23

806:2x 13x 31

902:2x 11x 41

563:563

516:2x 2x 3x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 92295624515952/(1x4)

LCM = 92295624515952/4

LCM = 23073906128988

Thus, we can understand that the LCM of 437,806,902,563,516 is 23073906128988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 806, 902, 563, 516

1. What is the LCM of 437, 806, 902, 563, 516?

Answer: LCM of 437, 806, 902, 563, 516 is 23073906128988.

2. How to calculate the LCM of 437, 806, 902, 563, 516?

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 437, 806, 902, 563, 516.

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}.