Given numbers are 789,194,190,742

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

The LCM of 789,194,190,742 is 5394811170.

Find LCM of 789,194,190,742 with Prime Factorization

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

2 x 789 x 97 x 95 x 371 = 5394811170

Therefore, the lowest common multiple of 789,194,190,742 is 5394811170.

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.

789 x 194 x 190 x 742 = 21579244680

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.

789 : 1, 3, 263, 789

194 : 1, 2, 97, 194

190 : 1, 2, 5, 10, 19, 38, 95, 190

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 789,194,190,742, is 1.

Now, the common factors can be found like this.

789:3x 263

194:2x 97

190:2x 5x 19

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21579244680/(1x4)

LCM = 21579244680/4

LCM = 5394811170

Thus, we can understand that the LCM of 789,194,190,742 is 5394811170.

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

• LCM of 254, 680, 810, 174
• LCM of 475, 542, 657, 888
• LCM of 694, 919, 725, 860
• LCM of 815, 985, 416, 461
• LCM of 896, 484, 508, 552

1. What is the LCM of 789, 194, 190, 742?

Answer: LCM of 789, 194, 190, 742 is 5394811170.

2. How to calculate the LCM of 789, 194, 190, 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 789, 194, 190, 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}.