Given numbers are 268,201,680,569

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

The LCM of 268,201,680,569 is 77770920.

Find LCM of 268,201,680,569 with Prime Factorization

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

2 x 2 x 67 x 1 x 3 x 170 x 569 = 77770920

Therefore, the lowest common multiple of 268,201,680,569 is 77770920.

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.

268 x 201 x 680 x 569 = 20842606560

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.

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

201 : 1, 3, 67, 201

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,201,680,569, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

201:3x 67

680:2x 2x 2x 5x 17

569:569

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 = 20842606560/(1x268)

LCM = 20842606560/268

LCM = 77770920

Thus, we can understand that the LCM of 268,201,680,569 is 77770920.

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

• LCM of 786, 106, 637, 894
• LCM of 657, 813, 216, 905
• LCM of 507, 615, 659, 571
• LCM of 321, 193, 662, 554
• LCM of 975, 853, 329, 642

1. What is the LCM of 268, 201, 680, 569?

Answer: LCM of 268, 201, 680, 569 is 77770920.

2. How to calculate the LCM of 268, 201, 680, 569?

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 268, 201, 680, 569.

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}.