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LCM of 465, 306, 408, 908

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


Find the LCM of 465, 306, 408, 908 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 465, 306, 408, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 465,306,408,908

Given numbers are 465,306,408,908

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

The LCM of 465,306,408,908 is 43066440.

Find LCM of 465,306,408,908 with Prime Factorization


2 465, 306, 408, 908
2 465, 153, 204, 454
3 465, 153, 102, 227
17 155, 51, 34, 227
155, 3, 2, 227

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

2 x 2 x 3 x 17 x 155 x 3 x 2 x 227 = 43066440

Therefore, the lowest common multiple of 465,306,408,908 is 43066440.

LCM Formula to Find Lowest Common Multiple of 465,306,408,908

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.

465 x 306 x 408 x 908 = 52713322560

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,306,408,908, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

306:2x 3x 3x 17

408:2x 2x 2x 3x 17

908:2x 2x 227

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 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 52713322560/(1x1224)

LCM = 52713322560/1224

LCM = 43066440

Thus, we can understand that the LCM of 465,306,408,908 is 43066440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 465, 306, 408, 908

1. What is the LCM of 465, 306, 408, 908?

Answer: LCM of 465, 306, 408, 908 is 43066440.

2. How to calculate the LCM of 465, 306, 408, 908?

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 465, 306, 408, 908.

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}.