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LCM of 314, 155, 220, 388

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


Find the LCM of 314, 155, 220, 388 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, 155, 220, 388. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,155,220,388

Given numbers are 314,155,220,388

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

The LCM of 314,155,220,388 is 103861780.

Find LCM of 314,155,220,388 with Prime Factorization


2 314, 155, 220, 388
2 157, 155, 110, 194
5 157, 155, 55, 97
157, 31, 11, 97

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

2 x 2 x 5 x 157 x 31 x 11 x 97 = 103861780

Therefore, the lowest common multiple of 314,155,220,388 is 103861780.

LCM Formula to Find Lowest Common Multiple of 314,155,220,388

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 155 x 220 x 388 = 4154471200

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

155 : 1, 5, 31, 155

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,155,220,388, is 1.

Now, the common factors can be found like this.

314:2x 157

155:5x 31

220:2x 2x 5x 11

388:2x 2x 97

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 5 = 40

Therefore, the value for common factors is 40.

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 = 4154471200/(1x40)

LCM = 4154471200/40

LCM = 103861780

Thus, we can understand that the LCM of 314,155,220,388 is 103861780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 155, 220, 388

1. What is the LCM of 314, 155, 220, 388?

Answer: LCM of 314, 155, 220, 388 is 103861780.

2. How to calculate the LCM of 314, 155, 220, 388?

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, 155, 220, 388.

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}.