Given numbers are 189,149,947,641,924

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

The LCM of 189,149,947,641,924 is 752157443268.

Find LCM of 189,149,947,641,924 with Prime Factorization

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

3 x 7 x 9 x 149 x 947 x 641 x 44 = 752157443268

Therefore, the lowest common multiple of 189,149,947,641,924 is 752157443268.

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 149 x 947 x 641 x 924 = 15795306308628

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

149 : 1, 149

947 : 1, 947

641 : 1, 641

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,149,947,641,924, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

149:149

947:947

641:641

924:2x 2x 3x 7x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 15795306308628/(1x21)

LCM = 15795306308628/21

LCM = 752157443268

Thus, we can understand that the LCM of 189,149,947,641,924 is 752157443268.

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

• LCM of 873, 597, 590, 239, 790
• LCM of 676, 982, 461, 285, 880
• LCM of 187, 981, 128, 734, 812
• LCM of 199, 356, 699, 806, 662
• LCM of 664, 461, 196, 847, 399

1. What is the LCM of 189, 149, 947, 641, 924?

Answer: LCM of 189, 149, 947, 641, 924 is 752157443268.

2. How to calculate the LCM of 189, 149, 947, 641, 924?

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, 149, 947, 641, 924.

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}.