Given numbers are 253,340,351,493

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

The LCM of 253,340,351,493 is 875597580.

Find LCM of 253,340,351,493 with Prime Factorization

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

17 x 253 x 20 x 351 x 29 = 875597580

Therefore, the lowest common multiple of 253,340,351,493 is 875597580.

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.

253 x 340 x 351 x 493 = 14885158860

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.

253 : 1, 11, 23, 253

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

351 : 1, 3, 9, 13, 27, 39, 117, 351

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,340,351,493, is 1.

Now, the common factors can be found like this.

253:11x 23

340:2x 2x 5x 17

351:3x 3x 3x 13

493:17x 29

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

17 = 17

Therefore, the value for common factors is 17.

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 = 14885158860/(1x17)

LCM = 14885158860/17

LCM = 875597580

Thus, we can understand that the LCM of 253,340,351,493 is 875597580.

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

• LCM of 419, 425, 243, 839
• LCM of 810, 746, 149, 472
• LCM of 901, 259, 828, 967
• LCM of 241, 838, 552, 479
• LCM of 232, 154, 188, 586

1. What is the LCM of 253, 340, 351, 493?

Answer: LCM of 253, 340, 351, 493 is 875597580.

2. How to calculate the LCM of 253, 340, 351, 493?

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 253, 340, 351, 493.

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}.