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LCM of 628, 220, 814, 214, 144

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


Find the LCM of 628, 220, 814, 214, 144 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 628, 220, 814, 214, 144. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 628,220,814,214,144

Given numbers are 628,220,814,214,144

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

The LCM of 628,220,814,214,144 is 4922778960.

Find LCM of 628,220,814,214,144 with Prime Factorization


2 628, 220, 814, 214, 144
2 314, 110, 407, 107, 72
11 157, 55, 407, 107, 36
157, 5, 37, 107, 36

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

2 x 2 x 11 x 157 x 5 x 37 x 107 x 36 = 4922778960

Therefore, the lowest common multiple of 628,220,814,214,144 is 4922778960.

LCM Formula to Find Lowest Common Multiple of 628,220,814,214,144

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.

628 x 220 x 814 x 214 x 144 = 3465636387840

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.

628 : 1, 2, 4, 157, 314, 628

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

214 : 1, 2, 107, 214

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,220,814,214,144, is 2.

Now, the common factors can be found like this.

628:2x 2x 157

220:2x 2x 5x 11

814:2x 11x 37

214:2x 107

144:2x 2x 2x 2x 3x 3

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 2x 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 3465636387840/(2x352)

LCM = 3465636387840/704

LCM = 4922778960

Thus, we can understand that the LCM of 628,220,814,214,144 is 4922778960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 628, 220, 814, 214, 144

1. What is the LCM of 628, 220, 814, 214, 144?

Answer: LCM of 628, 220, 814, 214, 144 is 4922778960.

2. How to calculate the LCM of 628, 220, 814, 214, 144?

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 628, 220, 814, 214, 144.

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}.