Given numbers are 984,452,750,587,378

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

The LCM of 984,452,750,587,378 is 513998919000.

Find LCM of 984,452,750,587,378 with Prime Factorization

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

2 x 2 x 3 x 82 x 113 x 125 x 587 x 63 = 513998919000

Therefore, the lowest common multiple of 984,452,750,587,378 is 513998919000.

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.

984 x 452 x 750 x 587 x 378 = 74015844336000

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

452 : 1, 2, 4, 113, 226, 452

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

587 : 1, 587

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,452,750,587,378, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

452:2x 2x 113

750:2x 3x 5x 5x 5

587:587

378:2x 3x 3x 3x 7

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 74015844336000/(1x144)

LCM = 74015844336000/144

LCM = 513998919000

Thus, we can understand that the LCM of 984,452,750,587,378 is 513998919000.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 162, 665, 658, 908, 293
• LCM of 211, 548, 365, 407, 716
• LCM of 170, 143, 820, 133, 497
• LCM of 499, 595, 603, 839, 678
• LCM of 572, 551, 126, 588, 856

1. What is the LCM of 984, 452, 750, 587, 378?

Answer: LCM of 984, 452, 750, 587, 378 is 513998919000.

2. How to calculate the LCM of 984, 452, 750, 587, 378?

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 984, 452, 750, 587, 378.

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}.