Given numbers are 268,798,224,680,757

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

The LCM of 268,798,224,680,757 is 55044316320.

Find LCM of 268,798,224,680,757 with Prime Factorization

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

2 x 2 x 2 x 7 x 67 x 57 x 4 x 85 x 757 = 55044316320

Therefore, the lowest common multiple of 268,798,224,680,757 is 55044316320.

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 798 x 224 x 680 x 757 = 24659853711360

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,798,224,680,757, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

798:2x 3x 7x 19

224:2x 2x 2x 2x 2x 7

680:2x 2x 2x 5x 17

757:757

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 2x 2x 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 24659853711360/(1x448)

LCM = 24659853711360/448

LCM = 55044316320

Thus, we can understand that the LCM of 268,798,224,680,757 is 55044316320.

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

• LCM of 181, 190, 193, 992, 468
• LCM of 388, 179, 773, 502, 795
• LCM of 790, 637, 134, 882, 225
• LCM of 973, 763, 732, 388, 479
• LCM of 787, 584, 363, 304, 119

1. What is the LCM of 268, 798, 224, 680, 757?

Answer: LCM of 268, 798, 224, 680, 757 is 55044316320.

2. How to calculate the LCM of 268, 798, 224, 680, 757?

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, 798, 224, 680, 757.

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}.