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LCM of 298, 442, 528, 442, 606

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


Find the LCM of 298, 442, 528, 442, 606 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 298, 442, 528, 442, 606. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,442,528,442,606

Given numbers are 298,442,528,442,606

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

The LCM of 298,442,528,442,606 is 1756037712.

Find LCM of 298,442,528,442,606 with Prime Factorization


2 298, 442, 528, 442, 606
3 149, 221, 264, 221, 303
13 149, 221, 88, 221, 101
17 149, 17, 88, 17, 101
149, 1, 88, 1, 101

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

2 x 3 x 13 x 17 x 149 x 1 x 88 x 1 x 101 = 1756037712

Therefore, the lowest common multiple of 298,442,528,442,606 is 1756037712.

LCM Formula to Find Lowest Common Multiple of 298,442,528,442,606

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.

298 x 442 x 528 x 442 x 606 = 18628048048896

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.

298 : 1, 2, 149, 298

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

606 : 1, 2, 3, 6, 101, 202, 303, 606

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,442,528,442,606, is 2.

Now, the common factors can be found like this.

298:2x 149

442:2x 13x 17

528:2x 2x 2x 2x 3x 11

442:2x 13x 17

606:2x 3x 101

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

2x 2x 2x 3x 13x 17 = 5304

Therefore, the value for common factors is 5304.

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 = 18628048048896/(2x5304)

LCM = 18628048048896/10608

LCM = 1756037712

Thus, we can understand that the LCM of 298,442,528,442,606 is 1756037712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 442, 528, 442, 606

1. What is the LCM of 298, 442, 528, 442, 606?

Answer: LCM of 298, 442, 528, 442, 606 is 1756037712.

2. How to calculate the LCM of 298, 442, 528, 442, 606?

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 298, 442, 528, 442, 606.

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}.