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LCM of 390, 974, 707, 487, 376

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


Find the LCM of 390, 974, 707, 487, 376 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 390, 974, 707, 487, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 390,974,707,487,376

Given numbers are 390,974,707,487,376

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

The LCM of 390,974,707,487,376 is 25244735880.

Find LCM of 390,974,707,487,376 with Prime Factorization


2 390, 974, 707, 487, 376
487 195, 487, 707, 487, 188
195, 1, 707, 1, 188

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

2 x 487 x 195 x 1 x 707 x 1 x 188 = 25244735880

Therefore, the lowest common multiple of 390,974,707,487,376 is 25244735880.

LCM Formula to Find Lowest Common Multiple of 390,974,707,487,376

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.

390 x 974 x 707 x 487 x 376 = 49176745494240

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

974 : 1, 2, 487, 974

707 : 1, 7, 101, 707

487 : 1, 487

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,974,707,487,376, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

974:2x 487

707:7x 101

487:487

376:2x 2x 2x 47

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 487 = 1948

Therefore, the value for common factors is 1948.

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 = 49176745494240/(1x1948)

LCM = 49176745494240/1948

LCM = 25244735880

Thus, we can understand that the LCM of 390,974,707,487,376 is 25244735880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 390, 974, 707, 487, 376

1. What is the LCM of 390, 974, 707, 487, 376?

Answer: LCM of 390, 974, 707, 487, 376 is 25244735880.

2. How to calculate the LCM of 390, 974, 707, 487, 376?

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 390, 974, 707, 487, 376.

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}.