Given numbers are 305,314,749,856

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

The LCM of 305,314,749,856 is 286926920.

Find LCM of 305,314,749,856 with Prime Factorization

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

2 x 107 x 305 x 157 x 7 x 4 = 286926920

Therefore, the lowest common multiple of 305,314,749,856 is 286926920.

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.

305 x 314 x 749 x 856 = 61402360880

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.

305 : 1, 5, 61, 305

314 : 1, 2, 157, 314

749 : 1, 7, 107, 749

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,314,749,856, is 1.

Now, the common factors can be found like this.

305:5x 61

314:2x 157

749:7x 107

856:2x 2x 2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 61402360880/(1x214)

LCM = 61402360880/214

LCM = 286926920

Thus, we can understand that the LCM of 305,314,749,856 is 286926920.

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

• LCM of 889, 492, 391, 918
• LCM of 267, 632, 275, 333
• LCM of 183, 288, 950, 461
• LCM of 288, 141, 889, 355
• LCM of 562, 143, 311, 481

1. What is the LCM of 305, 314, 749, 856?

Answer: LCM of 305, 314, 749, 856 is 286926920.

2. How to calculate the LCM of 305, 314, 749, 856?

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 305, 314, 749, 856.

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}.