Given numbers are 292,743,864,104,490

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

The LCM of 292,743,864,104,490 is 149257049760.

Find LCM of 292,743,864,104,490 with Prime Factorization

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

2 x 2 x 2 x 73 x 743 x 108 x 13 x 245 = 149257049760

Therefore, the lowest common multiple of 292,743,864,104,490 is 149257049760.

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.

292 x 743 x 864 x 104 x 490 = 9552451184640

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.

292 : 1, 2, 4, 73, 146, 292

743 : 1, 743

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

104 : 1, 2, 4, 8, 13, 26, 52, 104

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,743,864,104,490, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

743:743

864:2x 2x 2x 2x 2x 3x 3x 3

104:2x 2x 2x 13

490:2x 5x 7x 7

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 9552451184640/(1x64)

LCM = 9552451184640/64

LCM = 149257049760

Thus, we can understand that the LCM of 292,743,864,104,490 is 149257049760.

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

• LCM of 295, 817, 122, 212, 435
• LCM of 628, 347, 295, 546, 321
• LCM of 958, 209, 481, 858, 406
• LCM of 920, 109, 451, 142, 630
• LCM of 472, 167, 253, 949, 750

1. What is the LCM of 292, 743, 864, 104, 490?

Answer: LCM of 292, 743, 864, 104, 490 is 149257049760.

2. How to calculate the LCM of 292, 743, 864, 104, 490?

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 292, 743, 864, 104, 490.

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}.