Given numbers are 460,141,677,489

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

The LCM of 460,141,677,489 is 7157365860.

Find LCM of 460,141,677,489 with Prime Factorization

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

3 x 460 x 47 x 677 x 163 = 7157365860

Therefore, the lowest common multiple of 460,141,677,489 is 7157365860.

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 141 x 677 x 489 = 21472097580

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

141 : 1, 3, 47, 141

677 : 1, 677

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,141,677,489, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

141:3x 47

677:677

489:3x 163

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

3 = 3

Therefore, the value for common factors is 3.

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 = 21472097580/(1x3)

LCM = 21472097580/3

LCM = 7157365860

Thus, we can understand that the LCM of 460,141,677,489 is 7157365860.

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

• LCM of 427, 142, 665, 118
• LCM of 793, 372, 957, 758
• LCM of 905, 136, 395, 714
• LCM of 681, 852, 965, 120
• LCM of 295, 714, 899, 222

1. What is the LCM of 460, 141, 677, 489?

Answer: LCM of 460, 141, 677, 489 is 7157365860.

2. How to calculate the LCM of 460, 141, 677, 489?

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, 141, 677, 489.

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}.