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LCM of 463, 555, 295, 438

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


Find the LCM of 463, 555, 295, 438 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 463, 555, 295, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,555,295,438

Given numbers are 463,555,295,438

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

The LCM of 463,555,295,438 is 2213496510.

Find LCM of 463,555,295,438 with Prime Factorization


3 463, 555, 295, 438
5 463, 185, 295, 146
463, 37, 59, 146

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

3 x 5 x 463 x 37 x 59 x 146 = 2213496510

Therefore, the lowest common multiple of 463,555,295,438 is 2213496510.

LCM Formula to Find Lowest Common Multiple of 463,555,295,438

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.

463 x 555 x 295 x 438 = 33202447650

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.

463 : 1, 463

555 : 1, 3, 5, 15, 37, 111, 185, 555

295 : 1, 5, 59, 295

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,555,295,438, is 1.

Now, the common factors can be found like this.

463:463

555:3x 5x 37

295:5x 59

438:2x 3x 73

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 33202447650/(1x15)

LCM = 33202447650/15

LCM = 2213496510

Thus, we can understand that the LCM of 463,555,295,438 is 2213496510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 555, 295, 438

1. What is the LCM of 463, 555, 295, 438?

Answer: LCM of 463, 555, 295, 438 is 2213496510.

2. How to calculate the LCM of 463, 555, 295, 438?

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 463, 555, 295, 438.

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}.