Given numbers are 900,128,502,438

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

The LCM of 900,128,502,438 is 527702400.

Find LCM of 900,128,502,438 with Prime Factorization

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

2 x 2 x 3 x 75 x 32 x 251 x 73 = 527702400

Therefore, the lowest common multiple of 900,128,502,438 is 527702400.

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.

900 x 128 x 502 x 438 = 25329715200

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

128 : 1, 2, 4, 8, 16, 32, 64, 128

502 : 1, 2, 251, 502

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,128,502,438, is 2.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

128:2x 2x 2x 2x 2x 2x 2

502:2x 251

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 25329715200/(2x24)

LCM = 25329715200/48

LCM = 527702400

Thus, we can understand that the LCM of 900,128,502,438 is 527702400.

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

• LCM of 845, 186, 439, 333
• LCM of 141, 218, 743, 787
• LCM of 578, 528, 744, 981
• LCM of 718, 610, 454, 514
• LCM of 186, 371, 256, 928

1. What is the LCM of 900, 128, 502, 438?

Answer: LCM of 900, 128, 502, 438 is 527702400.

2. How to calculate the LCM of 900, 128, 502, 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 900, 128, 502, 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}.