Given numbers are 270,950,392,715,335

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

The LCM of 270,950,392,715,335 is 48167519400.

Find LCM of 270,950,392,715,335 with Prime Factorization

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

2 x 5 x 27 x 95 x 196 x 143 x 67 = 48167519400

Therefore, the lowest common multiple of 270,950,392,715,335 is 48167519400.

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 950 x 392 x 715 x 335 = 24083759700000

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

715 : 1, 5, 11, 13, 55, 65, 143, 715

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,950,392,715,335, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

950:2x 5x 5x 19

392:2x 2x 2x 7x 7

715:5x 11x 13

335:5x 67

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 24083759700000/(1x500)

LCM = 24083759700000/500

LCM = 48167519400

Thus, we can understand that the LCM of 270,950,392,715,335 is 48167519400.

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

• LCM of 211, 906, 504, 527, 723
• LCM of 418, 431, 475, 468, 336
• LCM of 581, 882, 336, 109, 712
• LCM of 903, 415, 879, 745, 558
• LCM of 439, 627, 794, 840, 657

1. What is the LCM of 270, 950, 392, 715, 335?

Answer: LCM of 270, 950, 392, 715, 335 is 48167519400.

2. How to calculate the LCM of 270, 950, 392, 715, 335?

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, 950, 392, 715, 335.

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}.