Given numbers are 490,194,468

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

The LCM of 490,194,468 is 11122020.

Find LCM of 490,194,468 with Prime Factorization

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

2 x 245 x 97 x 234 = 11122020

Therefore, the lowest common multiple of 490,194,468 is 11122020.

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.

490 x 194 x 468 = 44488080

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

194 : 1, 2, 97, 194

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,194,468, is 2.

Now, the common factors can be found like this.

490:2x 5x 7x 7

194:2x 97

468:2x 2x 3x 3x 13

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 = 44488080/(2x2)

LCM = 44488080/4

LCM = 11122020

Thus, we can understand that the LCM of 490,194,468 is 11122020.

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

• LCM of 739, 245, 408
• LCM of 366, 382, 836
• LCM of 646, 230, 841
• LCM of 813, 846, 269
• LCM of 206, 774, 925

1. What is the LCM of 490, 194, 468?

Answer: LCM of 490, 194, 468 is 11122020.

2. How to calculate the LCM of 490, 194, 468?

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 490, 194, 468.

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}.