Given numbers are 802,471,990,741,742

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

The LCM of 802,471,990,741,742 is 5711498702910.

Find LCM of 802,471,990,741,742 with Prime Factorization

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

2 x 3 x 401 x 157 x 165 x 247 x 371 = 5711498702910

Therefore, the lowest common multiple of 802,471,990,741,742 is 5711498702910.

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.

802 x 471 x 990 x 741 x 742 = 205613953304760

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.

802 : 1, 2, 401, 802

471 : 1, 3, 157, 471

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,471,990,741,742, is 1.

Now, the common factors can be found like this.

802:2x 401

471:3x 157

990:2x 3x 3x 5x 11

741:3x 13x 19

742:2x 7x 53

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 205613953304760/(1x36)

LCM = 205613953304760/36

LCM = 5711498702910

Thus, we can understand that the LCM of 802,471,990,741,742 is 5711498702910.

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

• LCM of 255, 831, 966, 969, 552
• LCM of 372, 721, 539, 482, 168
• LCM of 456, 780, 355, 230, 805
• LCM of 190, 650, 619, 734, 749
• LCM of 835, 870, 815, 721, 244

1. What is the LCM of 802, 471, 990, 741, 742?

Answer: LCM of 802, 471, 990, 741, 742 is 5711498702910.

2. How to calculate the LCM of 802, 471, 990, 741, 742?

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 802, 471, 990, 741, 742.

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}.