Given numbers are 948,466,350,514

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

The LCM of 948,466,350,514 is 9934257900.

Find LCM of 948,466,350,514 with Prime Factorization

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

2 x 474 x 233 x 175 x 257 = 9934257900

Therefore, the lowest common multiple of 948,466,350,514 is 9934257900.

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.

948 x 466 x 350 x 514 = 79474063200

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

466 : 1, 2, 233, 466

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,466,350,514, is 2.

Now, the common factors can be found like this.

948:2x 2x 3x 79

466:2x 233

350:2x 5x 5x 7

514:2x 257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 79474063200/(2x4)

LCM = 79474063200/8

LCM = 9934257900

Thus, we can understand that the LCM of 948,466,350,514 is 9934257900.

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

• LCM of 606, 788, 951, 569
• LCM of 141, 486, 872, 384
• LCM of 712, 489, 212, 421
• LCM of 640, 913, 182, 459
• LCM of 528, 623, 721, 601

1. What is the LCM of 948, 466, 350, 514?

Answer: LCM of 948, 466, 350, 514 is 9934257900.

2. How to calculate the LCM of 948, 466, 350, 514?

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 948, 466, 350, 514.

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}.