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LCM of 902, 803, 781, 431, 199

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


Find the LCM of 902, 803, 781, 431, 199 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, 803, 781, 431, 199. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,803,781,431,199

Given numbers are 902,803,781,431,199

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

The LCM of 902,803,781,431,199 is 400975735754.

Find LCM of 902,803,781,431,199 with Prime Factorization


11 902, 803, 781, 431, 199
82, 73, 71, 431, 199

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

11 x 82 x 73 x 71 x 431 x 199 = 400975735754

Therefore, the lowest common multiple of 902,803,781,431,199 is 400975735754.

LCM Formula to Find Lowest Common Multiple of 902,803,781,431,199

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 803 x 781 x 431 x 199 = 48518064026234

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

803 : 1, 11, 73, 803

781 : 1, 11, 71, 781

431 : 1, 431

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,803,781,431,199, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

803:11x 73

781:11x 71

431:431

199:199

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 48518064026234/(1x121)

LCM = 48518064026234/121

LCM = 400975735754

Thus, we can understand that the LCM of 902,803,781,431,199 is 400975735754.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 803, 781, 431, 199

1. What is the LCM of 902, 803, 781, 431, 199?

Answer: LCM of 902, 803, 781, 431, 199 is 400975735754.

2. How to calculate the LCM of 902, 803, 781, 431, 199?

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, 803, 781, 431, 199.

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}.