Given numbers are 457,969,284,138

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

The LCM of 457,969,284,138 is 2892585156.

Find LCM of 457,969,284,138 with Prime Factorization

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

2 x 3 x 457 x 323 x 142 x 23 = 2892585156

Therefore, the lowest common multiple of 457,969,284,138 is 2892585156.

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.

457 x 969 x 284 x 138 = 17355510936

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.

457 : 1, 457

969 : 1, 3, 17, 19, 51, 57, 323, 969

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,969,284,138, is 1.

Now, the common factors can be found like this.

457:457

969:3x 17x 19

284:2x 2x 71

138:2x 3x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 17355510936/(1x6)

LCM = 17355510936/6

LCM = 2892585156

Thus, we can understand that the LCM of 457,969,284,138 is 2892585156.

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

• LCM of 316, 272, 494, 423
• LCM of 960, 505, 913, 367
• LCM of 384, 370, 908, 875
• LCM of 292, 813, 414, 147
• LCM of 416, 245, 282, 272

1. What is the LCM of 457, 969, 284, 138?

Answer: LCM of 457, 969, 284, 138 is 2892585156.

2. How to calculate the LCM of 457, 969, 284, 138?

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 457, 969, 284, 138.

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}.