Given numbers are 310,494,540,504,670

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

The LCM of 310,494,540,504,670 is 3878423640.

Find LCM of 310,494,540,504,670 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 31 x 247 x 3 x 14 x 67 = 3878423640

Therefore, the lowest common multiple of 310,494,540,504,670 is 3878423640.

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.

310 x 494 x 540 x 504 x 670 = 27924650208000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

494 : 1, 2, 13, 19, 26, 38, 247, 494

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

670 : 1, 2, 5, 10, 67, 134, 335, 670

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,494,540,504,670, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

494:2x 13x 19

540:2x 2x 3x 3x 3x 5

504:2x 2x 2x 3x 3x 7

670:2x 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 2x 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 27924650208000/(2x3600)

LCM = 27924650208000/7200

LCM = 3878423640

Thus, we can understand that the LCM of 310,494,540,504,670 is 3878423640.

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

• LCM of 632, 291, 131, 797, 865
• LCM of 505, 841, 870, 704, 395
• LCM of 381, 210, 279, 825, 858
• LCM of 402, 736, 250, 563, 259
• LCM of 787, 772, 199, 566, 832

1. What is the LCM of 310, 494, 540, 504, 670?

Answer: LCM of 310, 494, 540, 504, 670 is 3878423640.

2. How to calculate the LCM of 310, 494, 540, 504, 670?

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 310, 494, 540, 504, 670.

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}.