Given numbers are 105,702,220,194,690

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

The LCM of 105,702,220,194,690 is 1205944740.

Find LCM of 105,702,220,194,690 with Prime Factorization

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

2 x 3 x 5 x 7 x 117 x 22 x 97 x 23 = 1205944740

Therefore, the lowest common multiple of 105,702,220,194,690 is 1205944740.

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.

105 x 702 x 220 x 194 x 690 = 2170700532000

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

194 : 1, 2, 97, 194

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,702,220,194,690, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

702:2x 3x 3x 3x 13

220:2x 2x 5x 11

194:2x 97

690:2x 3x 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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 2170700532000/(1x1800)

LCM = 2170700532000/1800

LCM = 1205944740

Thus, we can understand that the LCM of 105,702,220,194,690 is 1205944740.

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

• LCM of 465, 384, 487, 128, 146
• LCM of 398, 147, 622, 581, 182
• LCM of 801, 931, 612, 928, 828
• LCM of 269, 505, 817, 324, 193
• LCM of 334, 873, 487, 757, 623

1. What is the LCM of 105, 702, 220, 194, 690?

Answer: LCM of 105, 702, 220, 194, 690 is 1205944740.

2. How to calculate the LCM of 105, 702, 220, 194, 690?

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 105, 702, 220, 194, 690.

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}.