Given numbers are 268,507,698,716

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

The LCM of 268,507,698,716 is 8488309596.

Find LCM of 268,507,698,716 with Prime Factorization

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

2 x 2 x 67 x 507 x 349 x 179 = 8488309596

Therefore, the lowest common multiple of 268,507,698,716 is 8488309596.

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 507 x 698 x 716 = 67906476768

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

507 : 1, 3, 13, 39, 169, 507

698 : 1, 2, 349, 698

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,507,698,716, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

507:3x 13x 13

698:2x 349

716:2x 2x 179

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 2 = 8

Therefore, the value for common factors is 8.

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 = 67906476768/(1x8)

LCM = 67906476768/8

LCM = 8488309596

Thus, we can understand that the LCM of 268,507,698,716 is 8488309596.

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

• LCM of 401, 847, 196, 114
• LCM of 131, 420, 130, 193
• LCM of 889, 909, 404, 255
• LCM of 658, 960, 703, 720
• LCM of 544, 518, 837, 723

1. What is the LCM of 268, 507, 698, 716?

Answer: LCM of 268, 507, 698, 716 is 8488309596.

2. How to calculate the LCM of 268, 507, 698, 716?

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, 507, 698, 716.

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}.