Given numbers are 460,344,420,337,324

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

The LCM of 460,344,420,337,324 is 7559085240.

Find LCM of 460,344,420,337,324 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 86 x 7 x 337 x 27 = 7559085240

Therefore, the lowest common multiple of 460,344,420,337,324 is 7559085240.

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.

460 x 344 x 420 x 337 x 324 = 7256721830400

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

344 : 1, 2, 4, 8, 43, 86, 172, 344

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

337 : 1, 337

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,344,420,337,324, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

344:2x 2x 2x 43

420:2x 2x 3x 5x 7

337:337

324:2x 2x 3x 3x 3x 3

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 2x 2x 2x 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 7256721830400/(1x960)

LCM = 7256721830400/960

LCM = 7559085240

Thus, we can understand that the LCM of 460,344,420,337,324 is 7559085240.

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

• LCM of 892, 724, 900, 895, 318
• LCM of 365, 196, 705, 699, 242
• LCM of 866, 326, 290, 417, 870
• LCM of 883, 453, 579, 832, 836
• LCM of 533, 268, 719, 231, 269

1. What is the LCM of 460, 344, 420, 337, 324?

Answer: LCM of 460, 344, 420, 337, 324 is 7559085240.

2. How to calculate the LCM of 460, 344, 420, 337, 324?

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 460, 344, 420, 337, 324.

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}.