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LCM of 310, 707, 458, 408

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


Find the LCM of 310, 707, 458, 408 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 310, 707, 458, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,707,458,408

Given numbers are 310,707,458,408

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

The LCM of 310,707,458,408 is 10238745720.

Find LCM of 310,707,458,408 with Prime Factorization


2 310, 707, 458, 408
155, 707, 229, 204

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

2 x 155 x 707 x 229 x 204 = 10238745720

Therefore, the lowest common multiple of 310,707,458,408 is 10238745720.

LCM Formula to Find Lowest Common Multiple of 310,707,458,408

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.

310 x 707 x 458 x 408 = 40954982880

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

707 : 1, 7, 101, 707

458 : 1, 2, 229, 458

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,707,458,408, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

707:7x 101

458:2x 229

408:2x 2x 2x 3x 17

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 = 40954982880/(1x4)

LCM = 40954982880/4

LCM = 10238745720

Thus, we can understand that the LCM of 310,707,458,408 is 10238745720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 707, 458, 408

1. What is the LCM of 310, 707, 458, 408?

Answer: LCM of 310, 707, 458, 408 is 10238745720.

2. How to calculate the LCM of 310, 707, 458, 408?

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 310, 707, 458, 408.

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}.