Given numbers are 189,393,965,742

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

The LCM of 189,393,965,742 is 2532598110.

Find LCM of 189,393,965,742 with Prime Factorization

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

3 x 7 x 9 x 131 x 965 x 106 = 2532598110

Therefore, the lowest common multiple of 189,393,965,742 is 2532598110.

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 393 x 965 x 742 = 53184560310

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

393 : 1, 3, 131, 393

965 : 1, 5, 193, 965

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,393,965,742, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

393:3x 131

965:5x 193

742:2x 7x 53

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 = 53184560310/(1x21)

LCM = 53184560310/21

LCM = 2532598110

Thus, we can understand that the LCM of 189,393,965,742 is 2532598110.

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

• LCM of 834, 662, 734, 861
• LCM of 215, 945, 905, 348
• LCM of 752, 772, 151, 736
• LCM of 607, 724, 435, 770
• LCM of 365, 703, 830, 888

1. What is the LCM of 189, 393, 965, 742?

Answer: LCM of 189, 393, 965, 742 is 2532598110.

2. How to calculate the LCM of 189, 393, 965, 742?

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, 393, 965, 742.

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}.