Given numbers are 370,260,596,492,720

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

The LCM of 370,260,596,492,720 is 2115668880.

Find LCM of 370,260,596,492,720 with Prime Factorization

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

2 x 2 x 3 x 5 x 37 x 13 x 149 x 41 x 12 = 2115668880

Therefore, the lowest common multiple of 370,260,596,492,720 is 2115668880.

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.

370 x 260 x 596 x 492 x 720 = 20310421248000

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

596 : 1, 2, 4, 149, 298, 596

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,260,596,492,720, is 2.

Now, the common factors can be found like this.

370:2x 5x 37

260:2x 2x 5x 13

596:2x 2x 149

492:2x 2x 3x 41

720:2x 2x 2x 2x 3x 3x 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 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 20310421248000/(2x4800)

LCM = 20310421248000/9600

LCM = 2115668880

Thus, we can understand that the LCM of 370,260,596,492,720 is 2115668880.

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

• LCM of 426, 424, 451, 561, 188
• LCM of 419, 209, 204, 632, 185
• LCM of 850, 758, 642, 724, 819
• LCM of 346, 689, 732, 921, 413
• LCM of 551, 603, 913, 925, 447

1. What is the LCM of 370, 260, 596, 492, 720?

Answer: LCM of 370, 260, 596, 492, 720 is 2115668880.

2. How to calculate the LCM of 370, 260, 596, 492, 720?

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 370, 260, 596, 492, 720.

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}.