Given numbers are 460,616,702,762

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

The LCM of 460,616,702,762 is 3157834680.

Find LCM of 460,616,702,762 with Prime Factorization

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

2 x 2 x 3 x 115 x 154 x 117 x 127 = 3157834680

Therefore, the lowest common multiple of 460,616,702,762 is 3157834680.

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 616 x 702 x 762 = 151576064640

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,616,702,762, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

616:2x 2x 2x 7x 11

702:2x 3x 3x 3x 13

762:2x 3x 127

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 3 = 24

Therefore, the value for common factors is 24.

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 = 151576064640/(2x24)

LCM = 151576064640/48

LCM = 3157834680

Thus, we can understand that the LCM of 460,616,702,762 is 3157834680.

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

• LCM of 777, 441, 247, 834
• LCM of 540, 339, 643, 128
• LCM of 390, 159, 733, 882
• LCM of 766, 608, 572, 274
• LCM of 289, 209, 413, 622

1. What is the LCM of 460, 616, 702, 762?

Answer: LCM of 460, 616, 702, 762 is 3157834680.

2. How to calculate the LCM of 460, 616, 702, 762?

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, 616, 702, 762.

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}.