Given numbers are 496,259,803,438

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

The LCM of 496,259,803,438 is 309469776.

Find LCM of 496,259,803,438 with Prime Factorization

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

2 x 73 x 248 x 259 x 11 x 3 = 309469776

Therefore, the lowest common multiple of 496,259,803,438 is 309469776.

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.

496 x 259 x 803 x 438 = 45182587296

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

259 : 1, 7, 37, 259

803 : 1, 11, 73, 803

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,259,803,438, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

259:7x 37

803:11x 73

438:2x 3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 45182587296/(1x146)

LCM = 45182587296/146

LCM = 309469776

Thus, we can understand that the LCM of 496,259,803,438 is 309469776.

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

• LCM of 242, 997, 195, 532
• LCM of 863, 496, 654, 116
• LCM of 593, 290, 823, 637
• LCM of 529, 508, 919, 427
• LCM of 109, 942, 713, 505

1. What is the LCM of 496, 259, 803, 438?

Answer: LCM of 496, 259, 803, 438 is 309469776.

2. How to calculate the LCM of 496, 259, 803, 438?

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 496, 259, 803, 438.

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}.