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LCM of 431, 605, 456, 266

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


Find the LCM of 431, 605, 456, 266 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 431, 605, 456, 266. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,605,456,266

Given numbers are 431,605,456,266

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

The LCM of 431,605,456,266 is 832329960.

Find LCM of 431,605,456,266 with Prime Factorization


2 431, 605, 456, 266
19 431, 605, 228, 133
431, 605, 12, 7

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

2 x 19 x 431 x 605 x 12 x 7 = 832329960

Therefore, the lowest common multiple of 431,605,456,266 is 832329960.

LCM Formula to Find Lowest Common Multiple of 431,605,456,266

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.

431 x 605 x 456 x 266 = 31628538480

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.

431 : 1, 431

605 : 1, 5, 11, 55, 121, 605

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

266 : 1, 2, 7, 14, 19, 38, 133, 266

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,605,456,266, is 1.

Now, the common factors can be found like this.

431:431

605:5x 11x 11

456:2x 2x 2x 3x 19

266:2x 7x 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 = 31628538480/(1x38)

LCM = 31628538480/38

LCM = 832329960

Thus, we can understand that the LCM of 431,605,456,266 is 832329960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 605, 456, 266

1. What is the LCM of 431, 605, 456, 266?

Answer: LCM of 431, 605, 456, 266 is 832329960.

2. How to calculate the LCM of 431, 605, 456, 266?

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 431, 605, 456, 266.

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}.