Given numbers are 310,128,313,248,749

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

The LCM of 310,128,313,248,749 is 4651230080.

Find LCM of 310,128,313,248,749 with Prime Factorization

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

2 x 2 x 2 x 31 x 5 x 16 x 313 x 1 x 749 = 4651230080

Therefore, the lowest common multiple of 310,128,313,248,749 is 4651230080.

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.

310 x 128 x 313 x 248 x 749 = 2307010119680

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

128 : 1, 2, 4, 8, 16, 32, 64, 128

313 : 1, 313

248 : 1, 2, 4, 8, 31, 62, 124, 248

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,128,313,248,749, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

128:2x 2x 2x 2x 2x 2x 2

313:313

248:2x 2x 2x 31

749:7x 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 2x 2x 2x 31 = 496

Therefore, the value for common factors is 496.

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 = 2307010119680/(1x496)

LCM = 2307010119680/496

LCM = 4651230080

Thus, we can understand that the LCM of 310,128,313,248,749 is 4651230080.

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

• LCM of 367, 338, 151, 455, 481
• LCM of 132, 147, 368, 418, 172
• LCM of 850, 808, 389, 363, 452
• LCM of 749, 647, 445, 765, 624
• LCM of 893, 938, 633, 740, 125

1. What is the LCM of 310, 128, 313, 248, 749?

Answer: LCM of 310, 128, 313, 248, 749 is 4651230080.

2. How to calculate the LCM of 310, 128, 313, 248, 749?

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 310, 128, 313, 248, 749.

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}.