Given numbers are 189,305,353,968,672

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

The LCM of 189,305,353,968,672 is 78790108320.

Find LCM of 189,305,353,968,672 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 9 x 305 x 353 x 121 x 4 = 78790108320

Therefore, the lowest common multiple of 189,305,353,968,672 is 78790108320.

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.

189 x 305 x 353 x 968 x 672 = 13236738197760

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.

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

305 : 1, 5, 61, 305

353 : 1, 353

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,305,353,968,672, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

305:5x 61

353:353

968:2x 2x 2x 11x 11

672:2x 2x 2x 2x 2x 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 2x 2x 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 13236738197760/(1x168)

LCM = 13236738197760/168

LCM = 78790108320

Thus, we can understand that the LCM of 189,305,353,968,672 is 78790108320.

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

• LCM of 667, 288, 150, 600, 182
• LCM of 635, 725, 611, 121, 135
• LCM of 424, 502, 183, 996, 293
• LCM of 788, 564, 255, 853, 762
• LCM of 540, 664, 671, 906, 191

1. What is the LCM of 189, 305, 353, 968, 672?

Answer: LCM of 189, 305, 353, 968, 672 is 78790108320.

2. How to calculate the LCM of 189, 305, 353, 968, 672?

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 189, 305, 353, 968, 672.

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}.