Given numbers are 460,930,780,531

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

The LCM of 460,930,780,531 is 98436780.

Find LCM of 460,930,780,531 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 31 x 13 x 177 = 98436780

Therefore, the lowest common multiple of 460,930,780,531 is 98436780.

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 930 x 780 x 531 = 177186204000

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,930,780,531, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

930:2x 3x 5x 31

780:2x 2x 3x 5x 13

531:3x 3x 59

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 177186204000/(1x1800)

LCM = 177186204000/1800

LCM = 98436780

Thus, we can understand that the LCM of 460,930,780,531 is 98436780.

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

• LCM of 647, 711, 256, 465
• LCM of 123, 721, 144, 500
• LCM of 985, 447, 934, 777
• LCM of 231, 199, 659, 500
• LCM of 914, 542, 185, 147

1. What is the LCM of 460, 930, 780, 531?

Answer: LCM of 460, 930, 780, 531 is 98436780.

2. How to calculate the LCM of 460, 930, 780, 531?

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, 930, 780, 531.

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}.