Given numbers are 840,398,364,532

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

The LCM of 840,398,364,532 is 41288520.

Find LCM of 840,398,364,532 with Prime Factorization

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

2 x 2 x 7 x 30 x 199 x 13 x 19 = 41288520

Therefore, the lowest common multiple of 840,398,364,532 is 41288520.

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.

840 x 398 x 364 x 532 = 64740399360

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

398 : 1, 2, 199, 398

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,398,364,532, is 2.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

398:2x 199

364:2x 2x 7x 13

532:2x 2x 7x 19

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 64740399360/(2x784)

LCM = 64740399360/1568

LCM = 41288520

Thus, we can understand that the LCM of 840,398,364,532 is 41288520.

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

• LCM of 465, 670, 477, 923
• LCM of 673, 973, 655, 498
• LCM of 120, 314, 126, 626
• LCM of 707, 850, 650, 584
• LCM of 883, 630, 288, 481

1. What is the LCM of 840, 398, 364, 532?

Answer: LCM of 840, 398, 364, 532 is 41288520.

2. How to calculate the LCM of 840, 398, 364, 532?

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 840, 398, 364, 532.

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}.