Given numbers are 189,924,689,780,326

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

The LCM of 189,924,689,780,326 is 4669725060.

Find LCM of 189,924,689,780,326 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 9 x 11 x 53 x 5 x 163 = 4669725060

Therefore, the lowest common multiple of 189,924,689,780,326 is 4669725060.

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 924 x 689 x 780 x 326 = 30596038593120

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

689 : 1, 13, 53, 689

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,924,689,780,326, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

924:2x 2x 3x 7x 11

689:13x 53

780:2x 2x 3x 5x 13

326:2x 163

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 7x 13 = 6552

Therefore, the value for common factors is 6552.

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 = 30596038593120/(1x6552)

LCM = 30596038593120/6552

LCM = 4669725060

Thus, we can understand that the LCM of 189,924,689,780,326 is 4669725060.

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

• LCM of 954, 192, 870, 728, 259
• LCM of 700, 321, 553, 158, 880
• LCM of 698, 191, 518, 922, 331
• LCM of 158, 159, 978, 416, 167
• LCM of 219, 333, 929, 381, 405

1. What is the LCM of 189, 924, 689, 780, 326?

Answer: LCM of 189, 924, 689, 780, 326 is 4669725060.

2. How to calculate the LCM of 189, 924, 689, 780, 326?

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, 924, 689, 780, 326.

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}.