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LCM of 102, 272, 394, 985

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


Find the LCM of 102, 272, 394, 985 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, 272, 394, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,272,394,985

Given numbers are 102,272,394,985

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

The LCM of 102,272,394,985 is 803760.

Find LCM of 102,272,394,985 with Prime Factorization


2 102, 272, 394, 985
17 51, 136, 197, 985
197 3, 8, 197, 985
3, 8, 1, 5

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

2 x 17 x 197 x 3 x 8 x 1 x 5 = 803760

Therefore, the lowest common multiple of 102,272,394,985 is 803760.

LCM Formula to Find Lowest Common Multiple of 102,272,394,985

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 272 x 394 x 985 = 10767168960

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

394 : 1, 2, 197, 394

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,272,394,985, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

272:2x 2x 2x 2x 17

394:2x 197

985:5x 197

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 17x 197 = 13396

Therefore, the value for common factors is 13396.

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 = 10767168960/(1x13396)

LCM = 10767168960/13396

LCM = 803760

Thus, we can understand that the LCM of 102,272,394,985 is 803760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 272, 394, 985

1. What is the LCM of 102, 272, 394, 985?

Answer: LCM of 102, 272, 394, 985 is 803760.

2. How to calculate the LCM of 102, 272, 394, 985?

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, 272, 394, 985.

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}.