Given numbers are 450,428,236,968

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

The LCM of 450,428,236,968 is 1374971400.

Find LCM of 450,428,236,968 with Prime Factorization

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

2 x 2 x 225 x 107 x 59 x 242 = 1374971400

Therefore, the lowest common multiple of 450,428,236,968 is 1374971400.

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.

450 x 428 x 236 x 968 = 43999084800

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

428 : 1, 2, 4, 107, 214, 428

236 : 1, 2, 4, 59, 118, 236

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,428,236,968, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

428:2x 2x 107

236:2x 2x 59

968:2x 2x 2x 11x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 43999084800/(2x16)

LCM = 43999084800/32

LCM = 1374971400

Thus, we can understand that the LCM of 450,428,236,968 is 1374971400.

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

• LCM of 323, 451, 359, 927
• LCM of 614, 264, 940, 155
• LCM of 970, 874, 820, 158
• LCM of 236, 371, 608, 725
• LCM of 164, 867, 991, 231

1. What is the LCM of 450, 428, 236, 968?

Answer: LCM of 450, 428, 236, 968 is 1374971400.

2. How to calculate the LCM of 450, 428, 236, 968?

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 450, 428, 236, 968.

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}.