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LCM of 803, 371, 407, 946, 516

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


Find the LCM of 803, 371, 407, 946, 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 803, 371, 407, 946, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,371,407,946,516

Given numbers are 803,371,407,946,516

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

The LCM of 803,371,407,946,516 is 5687754996.

Find LCM of 803,371,407,946,516 with Prime Factorization


2 803, 371, 407, 946, 516
11 803, 371, 407, 473, 258
43 73, 371, 37, 43, 258
73, 371, 37, 1, 6

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

2 x 11 x 43 x 73 x 371 x 37 x 1 x 6 = 5687754996

Therefore, the lowest common multiple of 803,371,407,946,516 is 5687754996.

LCM Formula to Find Lowest Common Multiple of 803,371,407,946,516

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.

803 x 371 x 407 x 946 x 516 = 59186778488376

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.

803 : 1, 11, 73, 803

371 : 1, 7, 53, 371

407 : 1, 11, 37, 407

946 : 1, 2, 11, 22, 43, 86, 473, 946

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 803,371,407,946,516, is 1.

Now, the common factors can be found like this.

803:11x 73

371:7x 53

407:11x 37

946:2x 11x 43

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 11x 11x 43 = 10406

Therefore, the value for common factors is 10406.

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 = 59186778488376/(1x10406)

LCM = 59186778488376/10406

LCM = 5687754996

Thus, we can understand that the LCM of 803,371,407,946,516 is 5687754996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 371, 407, 946, 516

1. What is the LCM of 803, 371, 407, 946, 516?

Answer: LCM of 803, 371, 407, 946, 516 is 5687754996.

2. How to calculate the LCM of 803, 371, 407, 946, 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 803, 371, 407, 946, 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}.