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LCM of 314, 418, 730, 664

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


Find the LCM of 314, 418, 730, 664 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 314, 418, 730, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,418,730,664

Given numbers are 314,418,730,664

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

The LCM of 314,418,730,664 is 7952558680.

Find LCM of 314,418,730,664 with Prime Factorization


2 314, 418, 730, 664
157, 209, 365, 332

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

2 x 157 x 209 x 365 x 332 = 7952558680

Therefore, the lowest common multiple of 314,418,730,664 is 7952558680.

LCM Formula to Find Lowest Common Multiple of 314,418,730,664

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.

314 x 418 x 730 x 664 = 63620469440

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.

314 : 1, 2, 157, 314

418 : 1, 2, 11, 19, 22, 38, 209, 418

730 : 1, 2, 5, 10, 73, 146, 365, 730

664 : 1, 2, 4, 8, 83, 166, 332, 664

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,418,730,664, is 2.

Now, the common factors can be found like this.

314:2x 157

418:2x 11x 19

730:2x 5x 73

664:2x 2x 2x 83

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 = 63620469440/(2x4)

LCM = 63620469440/8

LCM = 7952558680

Thus, we can understand that the LCM of 314,418,730,664 is 7952558680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 418, 730, 664

1. What is the LCM of 314, 418, 730, 664?

Answer: LCM of 314, 418, 730, 664 is 7952558680.

2. How to calculate the LCM of 314, 418, 730, 664?

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 314, 418, 730, 664.

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}.