Given numbers are 467,150,221,296

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

The LCM of 467,150,221,296 is 2291195400.

Find LCM of 467,150,221,296 with Prime Factorization

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

2 x 467 x 75 x 221 x 148 = 2291195400

Therefore, the lowest common multiple of 467,150,221,296 is 2291195400.

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.

467 x 150 x 221 x 296 = 4582390800

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.

467 : 1, 467

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

221 : 1, 13, 17, 221

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,150,221,296, is 1.

Now, the common factors can be found like this.

467:467

150:2x 3x 5x 5

221:13x 17

296:2x 2x 2x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4582390800/(1x2)

LCM = 4582390800/2

LCM = 2291195400

Thus, we can understand that the LCM of 467,150,221,296 is 2291195400.

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

• LCM of 407, 728, 798, 100
• LCM of 907, 772, 777, 346
• LCM of 462, 567, 954, 153
• LCM of 627, 277, 434, 482
• LCM of 895, 393, 694, 202

1. What is the LCM of 467, 150, 221, 296?

Answer: LCM of 467, 150, 221, 296 is 2291195400.

2. How to calculate the LCM of 467, 150, 221, 296?

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 467, 150, 221, 296.

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}.