Given numbers are 313,274,714,590

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

The LCM of 313,274,714,590 is 9032025030.

Find LCM of 313,274,714,590 with Prime Factorization

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

2 x 313 x 137 x 357 x 295 = 9032025030

Therefore, the lowest common multiple of 313,274,714,590 is 9032025030.

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.

313 x 274 x 714 x 590 = 36128100120

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.

313 : 1, 313

274 : 1, 2, 137, 274

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,274,714,590, is 1.

Now, the common factors can be found like this.

313:313

274:2x 137

714:2x 3x 7x 17

590:2x 5x 59

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 36128100120/(1x4)

LCM = 36128100120/4

LCM = 9032025030

Thus, we can understand that the LCM of 313,274,714,590 is 9032025030.

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

• LCM of 916, 810, 300, 713
• LCM of 553, 427, 363, 330
• LCM of 603, 599, 130, 455
• LCM of 113, 709, 108, 616
• LCM of 240, 682, 213, 100

1. What is the LCM of 313, 274, 714, 590?

Answer: LCM of 313, 274, 714, 590 is 9032025030.

2. How to calculate the LCM of 313, 274, 714, 590?

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 313, 274, 714, 590.

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}.