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LCM of 998, 526, 803, 414

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


Find the LCM of 998, 526, 803, 414 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 998, 526, 803, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,526,803,414

Given numbers are 998,526,803,414

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

The LCM of 998,526,803,414 is 43628690754.

Find LCM of 998,526,803,414 with Prime Factorization


2 998, 526, 803, 414
499, 263, 803, 207

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

2 x 499 x 263 x 803 x 207 = 43628690754

Therefore, the lowest common multiple of 998,526,803,414 is 43628690754.

LCM Formula to Find Lowest Common Multiple of 998,526,803,414

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.

998 x 526 x 803 x 414 = 174514763016

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.

998 : 1, 2, 499, 998

526 : 1, 2, 263, 526

803 : 1, 11, 73, 803

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,526,803,414, is 1.

Now, the common factors can be found like this.

998:2x 499

526:2x 263

803:11x 73

414:2x 3x 3x 23

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 = 174514763016/(1x4)

LCM = 174514763016/4

LCM = 43628690754

Thus, we can understand that the LCM of 998,526,803,414 is 43628690754.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 526, 803, 414

1. What is the LCM of 998, 526, 803, 414?

Answer: LCM of 998, 526, 803, 414 is 43628690754.

2. How to calculate the LCM of 998, 526, 803, 414?

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 998, 526, 803, 414.

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}.