Given numbers are 701,360,389,240,400

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

The LCM of 701,360,389,240,400 is 981680400.

Find LCM of 701,360,389,240,400 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 701 x 1 x 389 x 3 x 5 = 981680400

Therefore, the lowest common multiple of 701,360,389,240,400 is 981680400.

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.

701 x 360 x 389 x 240 x 400 = 9424131840000

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.

701 : 1, 701

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

389 : 1, 389

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,360,389,240,400, is 1.

Now, the common factors can be found like this.

701:701

360:2x 2x 2x 3x 3x 5

389:389

240:2x 2x 2x 2x 3x 5

400:2x 2x 2x 2x 5x 5

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 2x 2x 2x 3x 5x 5 = 9600

Therefore, the value for common factors is 9600.

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 = 9424131840000/(1x9600)

LCM = 9424131840000/9600

LCM = 981680400

Thus, we can understand that the LCM of 701,360,389,240,400 is 981680400.

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

• LCM of 177, 860, 151, 580, 963
• LCM of 885, 940, 561, 896, 621
• LCM of 629, 579, 479, 886, 617
• LCM of 522, 421, 833, 493, 626
• LCM of 971, 887, 867, 725, 830

1. What is the LCM of 701, 360, 389, 240, 400?

Answer: LCM of 701, 360, 389, 240, 400 is 981680400.

2. How to calculate the LCM of 701, 360, 389, 240, 400?

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 701, 360, 389, 240, 400.

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}.