Given numbers are 890,341,509,198

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

The LCM of 890,341,509,198 is 1390287690.

Find LCM of 890,341,509,198 with Prime Factorization

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

2 x 11 x 445 x 31 x 509 x 9 = 1390287690

Therefore, the lowest common multiple of 890,341,509,198 is 1390287690.

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.

890 x 341 x 509 x 198 = 30586329180

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

341 : 1, 11, 31, 341

509 : 1, 509

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,341,509,198, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

341:11x 31

509:509

198:2x 3x 3x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 30586329180/(1x22)

LCM = 30586329180/22

LCM = 1390287690

Thus, we can understand that the LCM of 890,341,509,198 is 1390287690.

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

• LCM of 899, 622, 793, 610
• LCM of 744, 278, 955, 646
• LCM of 527, 155, 733, 156
• LCM of 998, 265, 102, 734
• LCM of 116, 611, 405, 953

1. What is the LCM of 890, 341, 509, 198?

Answer: LCM of 890, 341, 509, 198 is 1390287690.

2. How to calculate the LCM of 890, 341, 509, 198?

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 890, 341, 509, 198.

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}.