Given numbers are 270,822,762,476,993

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

The LCM of 270,822,762,476,993 is 370077773940.

Find LCM of 270,822,762,476,993 with Prime Factorization

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

2 x 3 x 45 x 137 x 127 x 238 x 331 = 370077773940

Therefore, the lowest common multiple of 270,822,762,476,993 is 370077773940.

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.

270 x 822 x 762 x 476 x 993 = 79936799171040

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

822 : 1, 2, 3, 6, 137, 274, 411, 822

762 : 1, 2, 3, 6, 127, 254, 381, 762

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,822,762,476,993, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

822:2x 3x 137

762:2x 3x 127

476:2x 2x 7x 17

993:3x 331

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 79936799171040/(1x216)

LCM = 79936799171040/216

LCM = 370077773940

Thus, we can understand that the LCM of 270,822,762,476,993 is 370077773940.

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

• LCM of 847, 787, 117, 980, 868
• LCM of 800, 336, 879, 321, 679
• LCM of 795, 165, 190, 502, 199
• LCM of 468, 665, 938, 374, 462
• LCM of 213, 301, 974, 821, 459

1. What is the LCM of 270, 822, 762, 476, 993?

Answer: LCM of 270, 822, 762, 476, 993 is 370077773940.

2. How to calculate the LCM of 270, 822, 762, 476, 993?

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 270, 822, 762, 476, 993.

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}.