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LCM of 387, 989, 257, 516

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


Find the LCM of 387, 989, 257, 516 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 387, 989, 257, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,989,257,516

Given numbers are 387,989,257,516

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

The LCM of 387,989,257,516 is 9150228.

Find LCM of 387,989,257,516 with Prime Factorization


3 387, 989, 257, 516
43 129, 989, 257, 172
3, 23, 257, 4

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

3 x 43 x 3 x 23 x 257 x 4 = 9150228

Therefore, the lowest common multiple of 387,989,257,516 is 9150228.

LCM Formula to Find Lowest Common Multiple of 387,989,257,516

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.

387 x 989 x 257 x 516 = 50756314716

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.

387 : 1, 3, 9, 43, 129, 387

989 : 1, 23, 43, 989

257 : 1, 257

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,989,257,516, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

989:23x 43

257:257

516:2x 2x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 43x 43 = 5547

Therefore, the value for common factors is 5547.

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 = 50756314716/(1x5547)

LCM = 50756314716/5547

LCM = 9150228

Thus, we can understand that the LCM of 387,989,257,516 is 9150228.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 989, 257, 516

1. What is the LCM of 387, 989, 257, 516?

Answer: LCM of 387, 989, 257, 516 is 9150228.

2. How to calculate the LCM of 387, 989, 257, 516?

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 387, 989, 257, 516.

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}.