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LCM of 314, 664, 194, 904

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


Find the LCM of 314, 664, 194, 904 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, 664, 194, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,664,194,904

Given numbers are 314,664,194,904

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

The LCM of 314,664,194,904 is 1142662328.

Find LCM of 314,664,194,904 with Prime Factorization


2 314, 664, 194, 904
2 157, 332, 97, 452
2 157, 166, 97, 226
157, 83, 97, 113

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

2 x 2 x 2 x 157 x 83 x 97 x 113 = 1142662328

Therefore, the lowest common multiple of 314,664,194,904 is 1142662328.

LCM Formula to Find Lowest Common Multiple of 314,664,194,904

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 664 x 194 x 904 = 36565194496

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

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

194 : 1, 2, 97, 194

904 : 1, 2, 4, 8, 113, 226, 452, 904

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,664,194,904, is 2.

Now, the common factors can be found like this.

314:2x 157

664:2x 2x 2x 83

194:2x 97

904:2x 2x 2x 113

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 2 = 16

Therefore, the value for common factors is 16.

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 = 36565194496/(2x16)

LCM = 36565194496/32

LCM = 1142662328

Thus, we can understand that the LCM of 314,664,194,904 is 1142662328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 664, 194, 904

1. What is the LCM of 314, 664, 194, 904?

Answer: LCM of 314, 664, 194, 904 is 1142662328.

2. How to calculate the LCM of 314, 664, 194, 904?

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, 664, 194, 904.

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}.