Given numbers are 938,214,268,584

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

The LCM of 938,214,268,584 is 29306872.

Find LCM of 938,214,268,584 with Prime Factorization

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

2 x 2 x 67 x 7 x 107 x 1 x 146 = 29306872

Therefore, the lowest common multiple of 938,214,268,584 is 29306872.

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.

938 x 214 x 268 x 584 = 31416966784

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.

938 : 1, 2, 7, 14, 67, 134, 469, 938

214 : 1, 2, 107, 214

268 : 1, 2, 4, 67, 134, 268

584 : 1, 2, 4, 8, 73, 146, 292, 584

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,214,268,584, is 2.

Now, the common factors can be found like this.

938:2x 7x 67

214:2x 107

268:2x 2x 67

584:2x 2x 2x 73

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 67 = 536

Therefore, the value for common factors is 536.

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 = 31416966784/(2x536)

LCM = 31416966784/1072

LCM = 29306872

Thus, we can understand that the LCM of 938,214,268,584 is 29306872.

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

• LCM of 747, 801, 917, 893
• LCM of 360, 896, 897, 776
• LCM of 228, 474, 830, 320
• LCM of 928, 521, 329, 971
• LCM of 375, 159, 866, 756

1. What is the LCM of 938, 214, 268, 584?

Answer: LCM of 938, 214, 268, 584 is 29306872.

2. How to calculate the LCM of 938, 214, 268, 584?

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 938, 214, 268, 584.

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}.