Given numbers are 315,284,233,834,674

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

The LCM of 315,284,233,834,674 is 976403923740.

Find LCM of 315,284,233,834,674 with Prime Factorization

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

2 x 3 x 105 x 142 x 233 x 139 x 337 = 976403923740

Therefore, the lowest common multiple of 315,284,233,834,674 is 976403923740.

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.

315 x 284 x 233 x 834 x 674 = 11716847084880

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

284 : 1, 2, 4, 71, 142, 284

233 : 1, 233

834 : 1, 2, 3, 6, 139, 278, 417, 834

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,284,233,834,674, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

284:2x 2x 71

233:233

834:2x 3x 139

674:2x 337

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 3 = 12

Therefore, the value for common factors is 12.

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 = 11716847084880/(1x12)

LCM = 11716847084880/12

LCM = 976403923740

Thus, we can understand that the LCM of 315,284,233,834,674 is 976403923740.

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

• LCM of 172, 669, 123, 904, 169
• LCM of 333, 931, 564, 794, 252
• LCM of 810, 127, 157, 988, 878
• LCM of 108, 491, 191, 324, 694
• LCM of 600, 406, 219, 761, 919

1. What is the LCM of 315, 284, 233, 834, 674?

Answer: LCM of 315, 284, 233, 834, 674 is 976403923740.

2. How to calculate the LCM of 315, 284, 233, 834, 674?

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 315, 284, 233, 834, 674.

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}.