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LCM of 199, 508, 762, 220

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


Find the LCM of 199, 508, 762, 220 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 199, 508, 762, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,508,762,220

Given numbers are 199,508,762,220

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

The LCM of 199,508,762,220 is 16680180.

Find LCM of 199,508,762,220 with Prime Factorization


2 199, 508, 762, 220
2 199, 254, 381, 110
127 199, 127, 381, 55
199, 1, 3, 55

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

2 x 2 x 127 x 199 x 1 x 3 x 55 = 16680180

Therefore, the lowest common multiple of 199,508,762,220 is 16680180.

LCM Formula to Find Lowest Common Multiple of 199,508,762,220

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.

199 x 508 x 762 x 220 = 16947062880

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.

199 : 1, 199

508 : 1, 2, 4, 127, 254, 508

762 : 1, 2, 3, 6, 127, 254, 381, 762

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,508,762,220, is 1.

Now, the common factors can be found like this.

199:199

508:2x 2x 127

762:2x 3x 127

220:2x 2x 5x 11

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 127 = 1016

Therefore, the value for common factors is 1016.

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 = 16947062880/(1x1016)

LCM = 16947062880/1016

LCM = 16680180

Thus, we can understand that the LCM of 199,508,762,220 is 16680180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 199, 508, 762, 220

1. What is the LCM of 199, 508, 762, 220?

Answer: LCM of 199, 508, 762, 220 is 16680180.

2. How to calculate the LCM of 199, 508, 762, 220?

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 199, 508, 762, 220.

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}.