Given numbers are 560,122,268,338,903

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

The LCM of 560,122,268,338,903 is 49896384720.

Find LCM of 560,122,268,338,903 with Prime Factorization

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

2 x 2 x 7 x 20 x 61 x 67 x 169 x 129 = 49896384720

Therefore, the lowest common multiple of 560,122,268,338,903 is 49896384720.

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.

560 x 122 x 268 x 338 x 903 = 5588395088640

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

122 : 1, 2, 61, 122

268 : 1, 2, 4, 67, 134, 268

338 : 1, 2, 13, 26, 169, 338

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,122,268,338,903, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

122:2x 61

268:2x 2x 67

338:2x 13x 13

903:3x 7x 43

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 7 = 112

Therefore, the value for common factors is 112.

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 = 5588395088640/(1x112)

LCM = 5588395088640/112

LCM = 49896384720

Thus, we can understand that the LCM of 560,122,268,338,903 is 49896384720.

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

• LCM of 994, 713, 409, 838, 264
• LCM of 850, 721, 610, 667, 776
• LCM of 666, 227, 302, 899, 902
• LCM of 724, 601, 365, 343, 154
• LCM of 908, 799, 636, 851, 679

1. What is the LCM of 560, 122, 268, 338, 903?

Answer: LCM of 560, 122, 268, 338, 903 is 49896384720.

2. How to calculate the LCM of 560, 122, 268, 338, 903?

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 560, 122, 268, 338, 903.

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}.