Given numbers are 70,53,13,52,494

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

The LCM of 70,53,13,52,494 is 1832740.

Find LCM of 70,53,13,52,494 with Prime Factorization

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

2 x 13 x 35 x 53 x 1 x 2 x 19 = 1832740

Therefore, the lowest common multiple of 70,53,13,52,494 is 1832740.

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.

70 x 53 x 13 x 52 x 494 = 1238932240

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.

70 : 1, 2, 5, 7, 10, 14, 35, 70

53 : 1, 53

13 : 1, 13

52 : 1, 2, 4, 13, 26, 52

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 70,53,13,52,494, is 1.

Now, the common factors can be found like this.

70:2x 5x 7

53:53

13:13

52:2x 2x 13

494:2x 13x 19

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 1238932240/(1x676)

LCM = 1238932240/676

LCM = 1832740

Thus, we can understand that the LCM of 70,53,13,52,494 is 1832740.

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

• LCM of 75, 42, 33, 27, 589
• LCM of 95, 20, 59, 71, 416
• LCM of 98, 56, 49, 55, 430
• LCM of 21, 82, 25, 13, 360
• LCM of 74, 77, 45, 24, 311

1. What is the LCM of 70, 53, 13, 52, 494?

Answer: LCM of 70, 53, 13, 52, 494 is 1832740.

2. How to calculate the LCM of 70, 53, 13, 52, 494?

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 70, 53, 13, 52, 494.

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}.