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LCM of 446, 662, 121, 652

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


Find the LCM of 446, 662, 121, 652 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 446, 662, 121, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,662,121,652

Given numbers are 446,662,121,652

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

The LCM of 446,662,121,652 is 5823255196.

Find LCM of 446,662,121,652 with Prime Factorization


2 446, 662, 121, 652
223, 331, 121, 326

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

2 x 223 x 331 x 121 x 326 = 5823255196

Therefore, the lowest common multiple of 446,662,121,652 is 5823255196.

LCM Formula to Find Lowest Common Multiple of 446,662,121,652

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.

446 x 662 x 121 x 652 = 23293020784

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.

446 : 1, 2, 223, 446

662 : 1, 2, 331, 662

121 : 1, 11, 121

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,662,121,652, is 1.

Now, the common factors can be found like this.

446:2x 223

662:2x 331

121:11x 11

652:2x 2x 163

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 = 23293020784/(1x4)

LCM = 23293020784/4

LCM = 5823255196

Thus, we can understand that the LCM of 446,662,121,652 is 5823255196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 662, 121, 652

1. What is the LCM of 446, 662, 121, 652?

Answer: LCM of 446, 662, 121, 652 is 5823255196.

2. How to calculate the LCM of 446, 662, 121, 652?

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 446, 662, 121, 652.

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}.