Given numbers are 468,903,438,564,958

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

The LCM of 468,903,438,564,958 is 231509373732.

Find LCM of 468,903,438,564,958 with Prime Factorization

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

2 x 2 x 3 x 39 x 301 x 73 x 47 x 479 = 231509373732

Therefore, the lowest common multiple of 468,903,438,564,958 is 231509373732.

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.

468 x 903 x 438 x 564 x 958 = 100012049452224

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

903 : 1, 3, 7, 21, 43, 129, 301, 903

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,903,438,564,958, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

903:3x 7x 43

438:2x 3x 73

564:2x 2x 3x 47

958:2x 479

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 3 = 432

Therefore, the value for common factors is 432.

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 = 100012049452224/(1x432)

LCM = 100012049452224/432

LCM = 231509373732

Thus, we can understand that the LCM of 468,903,438,564,958 is 231509373732.

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

• LCM of 744, 900, 366, 718, 934
• LCM of 945, 480, 633, 591, 339
• LCM of 243, 186, 640, 568, 364
• LCM of 804, 886, 548, 913, 440
• LCM of 160, 613, 352, 598, 791

1. What is the LCM of 468, 903, 438, 564, 958?

Answer: LCM of 468, 903, 438, 564, 958 is 231509373732.

2. How to calculate the LCM of 468, 903, 438, 564, 958?

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 468, 903, 438, 564, 958.

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}.