Given numbers are 460,420,584,531,740

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

The LCM of 460,420,584,531,740 is 9236447640.

Find LCM of 460,420,584,531,740 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 7 x 146 x 177 x 37 = 9236447640

Therefore, the lowest common multiple of 460,420,584,531,740 is 9236447640.

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 420 x 584 x 531 x 740 = 44334948672000

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

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

584 : 1, 2, 4, 8, 73, 146, 292, 584

531 : 1, 3, 9, 59, 177, 531

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,420,584,531,740, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

420:2x 2x 3x 5x 7

584:2x 2x 2x 73

531:3x 3x 59

740:2x 2x 5x 37

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 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 44334948672000/(1x4800)

LCM = 44334948672000/4800

LCM = 9236447640

Thus, we can understand that the LCM of 460,420,584,531,740 is 9236447640.

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

• LCM of 928, 187, 344, 253, 797
• LCM of 142, 835, 740, 822, 353
• LCM of 142, 645, 925, 881, 579
• LCM of 490, 714, 488, 301, 663
• LCM of 198, 318, 923, 453, 439

1. What is the LCM of 460, 420, 584, 531, 740?

Answer: LCM of 460, 420, 584, 531, 740 is 9236447640.

2. How to calculate the LCM of 460, 420, 584, 531, 740?

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, 420, 584, 531, 740.

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}.