Given numbers are 578,209,244,749,189

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

The LCM of 578,209,244,749,189 is 298043419212.

Find LCM of 578,209,244,749,189 with Prime Factorization

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

2 x 7 x 289 x 209 x 122 x 107 x 27 = 298043419212

Therefore, the lowest common multiple of 578,209,244,749,189 is 298043419212.

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.

578 x 209 x 244 x 749 x 189 = 4172607868968

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.

578 : 1, 2, 17, 34, 289, 578

209 : 1, 11, 19, 209

244 : 1, 2, 4, 61, 122, 244

749 : 1, 7, 107, 749

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,209,244,749,189, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

209:11x 19

244:2x 2x 61

749:7x 107

189:3x 3x 3x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 4172607868968/(1x14)

LCM = 4172607868968/14

LCM = 298043419212

Thus, we can understand that the LCM of 578,209,244,749,189 is 298043419212.

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

• LCM of 657, 827, 585, 932, 961
• LCM of 963, 183, 103, 258, 240
• LCM of 990, 497, 856, 536, 527
• LCM of 307, 473, 945, 615, 847
• LCM of 827, 894, 736, 420, 251

1. What is the LCM of 578, 209, 244, 749, 189?

Answer: LCM of 578, 209, 244, 749, 189 is 298043419212.

2. How to calculate the LCM of 578, 209, 244, 749, 189?

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 578, 209, 244, 749, 189.

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}.