Given numbers are 143,213,237,284

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

The LCM of 143,213,237,284 is 9625044.

Find LCM of 143,213,237,284 with Prime Factorization

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

3 x 71 x 143 x 1 x 79 x 4 = 9625044

Therefore, the lowest common multiple of 143,213,237,284 is 9625044.

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.

143 x 213 x 237 x 284 = 2050134372

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.

143 : 1, 11, 13, 143

213 : 1, 3, 71, 213

237 : 1, 3, 79, 237

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,213,237,284, is 1.

Now, the common factors can be found like this.

143:11x 13

213:3x 71

237:3x 79

284:2x 2x 71

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

3x 71 = 213

Therefore, the value for common factors is 213.

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 = 2050134372/(1x213)

LCM = 2050134372/213

LCM = 9625044

Thus, we can understand that the LCM of 143,213,237,284 is 9625044.

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

• LCM of 970, 679, 960, 966
• LCM of 238, 105, 280, 330
• LCM of 674, 618, 328, 745
• LCM of 657, 744, 875, 520
• LCM of 524, 112, 682, 376

1. What is the LCM of 143, 213, 237, 284?

Answer: LCM of 143, 213, 237, 284 is 9625044.

2. How to calculate the LCM of 143, 213, 237, 284?

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 143, 213, 237, 284.

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}.