Given numbers are 253,202,350,410

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

The LCM of 253,202,350,410 is 366685550.

Find LCM of 253,202,350,410 with Prime Factorization

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

2 x 5 x 253 x 101 x 35 x 41 = 366685550

Therefore, the lowest common multiple of 253,202,350,410 is 366685550.

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 202 x 350 x 410 = 7333711000

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

202 : 1, 2, 101, 202

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,202,350,410, is 1.

Now, the common factors can be found like this.

253:11x 23

202:2x 101

350:2x 5x 5x 7

410:2x 5x 41

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 5 = 20

Therefore, the value for common factors is 20.

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 = 7333711000/(1x20)

LCM = 7333711000/20

LCM = 366685550

Thus, we can understand that the LCM of 253,202,350,410 is 366685550.

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

• LCM of 431, 335, 261, 571
• LCM of 316, 171, 485, 470
• LCM of 522, 292, 839, 424
• LCM of 427, 107, 210, 332
• LCM of 140, 618, 907, 427

1. What is the LCM of 253, 202, 350, 410?

Answer: LCM of 253, 202, 350, 410 is 366685550.

2. How to calculate the LCM of 253, 202, 350, 410?

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, 202, 350, 410.

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}.