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LCM of 102, 502, 960, 277, 519

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


Find the LCM of 102, 502, 960, 277, 519 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, 502, 960, 277, 519. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,502,960,277,519

Given numbers are 102,502,960,277,519

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

The LCM of 102,502,960,277,519 is 196299750720.

Find LCM of 102,502,960,277,519 with Prime Factorization


2 102, 502, 960, 277, 519
3 51, 251, 480, 277, 519
17, 251, 160, 277, 173

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

2 x 3 x 17 x 251 x 160 x 277 x 173 = 196299750720

Therefore, the lowest common multiple of 102,502,960,277,519 is 196299750720.

LCM Formula to Find Lowest Common Multiple of 102,502,960,277,519

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 502 x 960 x 277 x 519 = 7066791025920

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

502 : 1, 2, 251, 502

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

277 : 1, 277

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,502,960,277,519, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

502:2x 251

960:2x 2x 2x 2x 2x 2x 3x 5

277:277

519:3x 173

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 7066791025920/(1x36)

LCM = 7066791025920/36

LCM = 196299750720

Thus, we can understand that the LCM of 102,502,960,277,519 is 196299750720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 502, 960, 277, 519

1. What is the LCM of 102, 502, 960, 277, 519?

Answer: LCM of 102, 502, 960, 277, 519 is 196299750720.

2. How to calculate the LCM of 102, 502, 960, 277, 519?

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, 502, 960, 277, 519.

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}.