Given numbers are 493,358,420

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

The LCM of 493,358,420 is 37063740.

Find LCM of 493,358,420 with Prime Factorization

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

2 x 493 x 179 x 210 = 37063740

Therefore, the lowest common multiple of 493,358,420 is 37063740.

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.

493 x 358 x 420 = 74127480

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.

493 : 1, 17, 29, 493

358 : 1, 2, 179, 358

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,358,420, is 1.

Now, the common factors can be found like this.

493:17x 29

358:2x 179

420:2x 2x 3x 5x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 74127480/(1x2)

LCM = 74127480/2

LCM = 37063740

Thus, we can understand that the LCM of 493,358,420 is 37063740.

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

• LCM of 254, 476, 381
• LCM of 981, 189, 532
• LCM of 637, 448, 198
• LCM of 587, 298, 183
• LCM of 350, 645, 685

1. What is the LCM of 493, 358, 420?

Answer: LCM of 493, 358, 420 is 37063740.

2. How to calculate the LCM of 493, 358, 420?

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 493, 358, 420.

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}.