Given numbers are 596,175,742,919

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

The LCM of 596,175,742,919 is 5080140100.

Find LCM of 596,175,742,919 with Prime Factorization

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

2 x 7 x 298 x 25 x 53 x 919 = 5080140100

Therefore, the lowest common multiple of 596,175,742,919 is 5080140100.

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.

596 x 175 x 742 x 919 = 71121961400

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.

596 : 1, 2, 4, 149, 298, 596

175 : 1, 5, 7, 25, 35, 175

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

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,175,742,919, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

175:5x 5x 7

742:2x 7x 53

919:919

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 71121961400/(1x14)

LCM = 71121961400/14

LCM = 5080140100

Thus, we can understand that the LCM of 596,175,742,919 is 5080140100.

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

• LCM of 338, 611, 960, 451
• LCM of 509, 412, 381, 375
• LCM of 159, 569, 678, 525
• LCM of 584, 545, 461, 312
• LCM of 205, 336, 858, 971

1. What is the LCM of 596, 175, 742, 919?

Answer: LCM of 596, 175, 742, 919 is 5080140100.

2. How to calculate the LCM of 596, 175, 742, 919?

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 596, 175, 742, 919.

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}.