Given numbers are 460,138,741,162,920

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

The LCM of 460,138,741,162,920 is 18406440.

Find LCM of 460,138,741,162,920 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 1 x 1 x 247 x 27 x 2 = 18406440

Therefore, the lowest common multiple of 460,138,741,162,920 is 18406440.

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 138 x 741 x 162 x 920 = 7010644867200

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

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,138,741,162,920, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

138:2x 3x 23

741:3x 13x 19

162:2x 3x 3x 3x 3

920:2x 2x 2x 5x 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 2x 2x 2x 3x 3x 5x 23x 23 = 380880

Therefore, the value for common factors is 380880.

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 = 7010644867200/(1x380880)

LCM = 7010644867200/380880

LCM = 18406440

Thus, we can understand that the LCM of 460,138,741,162,920 is 18406440.

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

• LCM of 700, 800, 915, 801, 221
• LCM of 415, 630, 595, 397, 983
• LCM of 748, 160, 517, 183, 757
• LCM of 615, 693, 965, 720, 127
• LCM of 359, 980, 537, 930, 847

1. What is the LCM of 460, 138, 741, 162, 920?

Answer: LCM of 460, 138, 741, 162, 920 is 18406440.

2. How to calculate the LCM of 460, 138, 741, 162, 920?

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, 138, 741, 162, 920.

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}.