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LCM of 803, 442, 949, 417

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


Find the LCM of 803, 442, 949, 417 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, 442, 949, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,442,949,417

Given numbers are 803,442,949,417

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

The LCM of 803,442,949,417 is 148004142.

Find LCM of 803,442,949,417 with Prime Factorization


13 803, 442, 949, 417
73 803, 34, 73, 417
11, 34, 1, 417

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

13 x 73 x 11 x 34 x 1 x 417 = 148004142

Therefore, the lowest common multiple of 803,442,949,417 is 148004142.

LCM Formula to Find Lowest Common Multiple of 803,442,949,417

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 442 x 949 x 417 = 140455930758

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

949 : 1, 13, 73, 949

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,442,949,417, is 1.

Now, the common factors can be found like this.

803:11x 73

442:2x 13x 17

949:13x 73

417:3x 139

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

13x 73 = 949

Therefore, the value for common factors is 949.

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 = 140455930758/(1x949)

LCM = 140455930758/949

LCM = 148004142

Thus, we can understand that the LCM of 803,442,949,417 is 148004142.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 442, 949, 417

1. What is the LCM of 803, 442, 949, 417?

Answer: LCM of 803, 442, 949, 417 is 148004142.

2. How to calculate the LCM of 803, 442, 949, 417?

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, 442, 949, 417.

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}.