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LCM of 446, 133, 788, 247

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


Find the LCM of 446, 133, 788, 247 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, 133, 788, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,133,788,247

Given numbers are 446,133,788,247

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

The LCM of 446,133,788,247 is 303826796.

Find LCM of 446,133,788,247 with Prime Factorization


2 446, 133, 788, 247
19 223, 133, 394, 247
223, 7, 394, 13

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

2 x 19 x 223 x 7 x 394 x 13 = 303826796

Therefore, the lowest common multiple of 446,133,788,247 is 303826796.

LCM Formula to Find Lowest Common Multiple of 446,133,788,247

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 133 x 788 x 247 = 11545418248

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

133 : 1, 7, 19, 133

788 : 1, 2, 4, 197, 394, 788

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,133,788,247, is 1.

Now, the common factors can be found like this.

446:2x 223

133:7x 19

788:2x 2x 197

247:13x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 11545418248/(1x38)

LCM = 11545418248/38

LCM = 303826796

Thus, we can understand that the LCM of 446,133,788,247 is 303826796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 133, 788, 247

1. What is the LCM of 446, 133, 788, 247?

Answer: LCM of 446, 133, 788, 247 is 303826796.

2. How to calculate the LCM of 446, 133, 788, 247?

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, 133, 788, 247.

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}.