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LCM of 102, 180, 502, 386

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


Find the LCM of 102, 180, 502, 386 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 102, 180, 502, 386. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,180,502,386

Given numbers are 102,180,502,386

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

The LCM of 102,180,502,386 is 148235580.

Find LCM of 102,180,502,386 with Prime Factorization


2 102, 180, 502, 386
3 51, 90, 251, 193
17, 30, 251, 193

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

2 x 3 x 17 x 30 x 251 x 193 = 148235580

Therefore, the lowest common multiple of 102,180,502,386 is 148235580.

LCM Formula to Find Lowest Common Multiple of 102,180,502,386

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.

102 x 180 x 502 x 386 = 3557653920

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

502 : 1, 2, 251, 502

386 : 1, 2, 193, 386

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,180,502,386, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

180:2x 2x 3x 3x 5

502:2x 251

386:2x 193

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3557653920/(2x12)

LCM = 3557653920/24

LCM = 148235580

Thus, we can understand that the LCM of 102,180,502,386 is 148235580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 180, 502, 386

1. What is the LCM of 102, 180, 502, 386?

Answer: LCM of 102, 180, 502, 386 is 148235580.

2. How to calculate the LCM of 102, 180, 502, 386?

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 102, 180, 502, 386.

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}.