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LCM of 808, 314, 234, 707

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


Find the LCM of 808, 314, 234, 707 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 808, 314, 234, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,314,234,707

Given numbers are 808,314,234,707

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

The LCM of 808,314,234,707 is 103895064.

Find LCM of 808,314,234,707 with Prime Factorization


2 808, 314, 234, 707
101 404, 157, 117, 707
4, 157, 117, 7

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

2 x 101 x 4 x 157 x 117 x 7 = 103895064

Therefore, the lowest common multiple of 808,314,234,707 is 103895064.

LCM Formula to Find Lowest Common Multiple of 808,314,234,707

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.

808 x 314 x 234 x 707 = 41973605856

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

314 : 1, 2, 157, 314

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,314,234,707, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

314:2x 157

234:2x 3x 3x 13

707:7x 101

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 101 = 404

Therefore, the value for common factors is 404.

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 = 41973605856/(1x404)

LCM = 41973605856/404

LCM = 103895064

Thus, we can understand that the LCM of 808,314,234,707 is 103895064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 314, 234, 707

1. What is the LCM of 808, 314, 234, 707?

Answer: LCM of 808, 314, 234, 707 is 103895064.

2. How to calculate the LCM of 808, 314, 234, 707?

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 808, 314, 234, 707.

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}.