Given numbers are 268,706,449,748

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

The LCM of 268,706,449,748 is 7943235652.

Find LCM of 268,706,449,748 with Prime Factorization

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

2 x 2 x 67 x 353 x 449 x 187 = 7943235652

Therefore, the lowest common multiple of 268,706,449,748 is 7943235652.

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 706 x 449 x 748 = 63545885216

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

706 : 1, 2, 353, 706

449 : 1, 449

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,706,449,748, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

706:2x 353

449:449

748:2x 2x 11x 17

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 = 63545885216/(1x8)

LCM = 63545885216/8

LCM = 7943235652

Thus, we can understand that the LCM of 268,706,449,748 is 7943235652.

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

• LCM of 739, 514, 481, 206
• LCM of 811, 995, 388, 653
• LCM of 582, 210, 132, 620
• LCM of 694, 804, 308, 222
• LCM of 767, 173, 998, 976

1. What is the LCM of 268, 706, 449, 748?

Answer: LCM of 268, 706, 449, 748 is 7943235652.

2. How to calculate the LCM of 268, 706, 449, 748?

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, 706, 449, 748.

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}.