Given numbers are 284,201,142,624

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

The LCM of 284,201,142,624 is 2968368.

Find LCM of 284,201,142,624 with Prime Factorization

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

2 x 2 x 3 x 71 x 1 x 67 x 1 x 52 = 2968368

Therefore, the lowest common multiple of 284,201,142,624 is 2968368.

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.

284 x 201 x 142 x 624 = 5058099072

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.

284 : 1, 2, 4, 71, 142, 284

201 : 1, 3, 67, 201

142 : 1, 2, 71, 142

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,201,142,624, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

201:3x 67

142:2x 71

624:2x 2x 2x 2x 3x 13

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 3x 71 = 1704

Therefore, the value for common factors is 1704.

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 = 5058099072/(1x1704)

LCM = 5058099072/1704

LCM = 2968368

Thus, we can understand that the LCM of 284,201,142,624 is 2968368.

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

• LCM of 630, 544, 452, 550
• LCM of 159, 453, 658, 150
• LCM of 660, 117, 653, 876
• LCM of 421, 408, 997, 969
• LCM of 158, 916, 247, 207

1. What is the LCM of 284, 201, 142, 624?

Answer: LCM of 284, 201, 142, 624 is 2968368.

2. How to calculate the LCM of 284, 201, 142, 624?

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 284, 201, 142, 624.

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}.