Given numbers are 252,464,560,235

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

The LCM of 252,464,560,235 is 6869520.

Find LCM of 252,464,560,235 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 9 x 29 x 1 x 47 = 6869520

Therefore, the lowest common multiple of 252,464,560,235 is 6869520.

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.

252 x 464 x 560 x 235 = 15387724800

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,464,560,235, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

464:2x 2x 2x 2x 29

560:2x 2x 2x 2x 5x 7

235:5x 47

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 5x 7 = 2240

Therefore, the value for common factors is 2240.

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 = 15387724800/(1x2240)

LCM = 15387724800/2240

LCM = 6869520

Thus, we can understand that the LCM of 252,464,560,235 is 6869520.

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

• LCM of 313, 256, 513, 569
• LCM of 504, 756, 402, 651
• LCM of 620, 184, 514, 866
• LCM of 974, 801, 648, 954
• LCM of 898, 801, 398, 113

1. What is the LCM of 252, 464, 560, 235?

Answer: LCM of 252, 464, 560, 235 is 6869520.

2. How to calculate the LCM of 252, 464, 560, 235?

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 252, 464, 560, 235.

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}.