Given numbers are 205,698,938,268

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

The LCM of 205,698,938,268 is 134218420.

Find LCM of 205,698,938,268 with Prime Factorization

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

2 x 67 x 205 x 349 x 7 x 2 = 134218420

Therefore, the lowest common multiple of 205,698,938,268 is 134218420.

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.

205 x 698 x 938 x 268 = 35970536560

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.

205 : 1, 5, 41, 205

698 : 1, 2, 349, 698

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,698,938,268, is 1.

Now, the common factors can be found like this.

205:5x 41

698:2x 349

938:2x 7x 67

268:2x 2x 67

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 67 = 268

Therefore, the value for common factors is 268.

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 = 35970536560/(1x268)

LCM = 35970536560/268

LCM = 134218420

Thus, we can understand that the LCM of 205,698,938,268 is 134218420.

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

• LCM of 556, 825, 918, 652
• LCM of 618, 458, 865, 737
• LCM of 797, 135, 118, 893
• LCM of 114, 231, 185, 466
• LCM of 208, 459, 857, 875

1. What is the LCM of 205, 698, 938, 268?

Answer: LCM of 205, 698, 938, 268 is 134218420.

2. How to calculate the LCM of 205, 698, 938, 268?

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 205, 698, 938, 268.

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}.