Given numbers are 200,586,167,70

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

The LCM of 200,586,167,70 is 68503400.

Find LCM of 200,586,167,70 with Prime Factorization

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

2 x 5 x 20 x 293 x 167 x 7 = 68503400

Therefore, the lowest common multiple of 200,586,167,70 is 68503400.

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.

200 x 586 x 167 x 70 = 1370068000

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.

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

586 : 1, 2, 293, 586

167 : 1, 167

70 : 1, 2, 5, 7, 10, 14, 35, 70

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,586,167,70, is 1.

Now, the common factors can be found like this.

200:2x 2x 2x 5x 5

586:2x 293

167:167

70:2x 5x 7

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 5 = 20

Therefore, the value for common factors is 20.

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 = 1370068000/(1x20)

LCM = 1370068000/20

LCM = 68503400

Thus, we can understand that the LCM of 200,586,167,70 is 68503400.

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

• LCM of 514, 661, 336, 97
• LCM of 695, 644, 447, 10
• LCM of 404, 268, 395, 82
• LCM of 509, 827, 264, 33
• LCM of 761, 831, 850, 86

1. What is the LCM of 200, 586, 167, 70?

Answer: LCM of 200, 586, 167, 70 is 68503400.

2. How to calculate the LCM of 200, 586, 167, 70?

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 200, 586, 167, 70.

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}.