Given numbers are 506,391,713,177

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

The LCM of 506,391,713,177 is 47199174.

Find LCM of 506,391,713,177 with Prime Factorization

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

23 x 22 x 17 x 31 x 177 = 47199174

Therefore, the lowest common multiple of 506,391,713,177 is 47199174.

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.

506 x 391 x 713 x 177 = 24968363046

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

391 : 1, 17, 23, 391

713 : 1, 23, 31, 713

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,391,713,177, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

391:17x 23

713:23x 31

177:3x 59

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

23x 23 = 529

Therefore, the value for common factors is 529.

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 = 24968363046/(1x529)

LCM = 24968363046/529

LCM = 47199174

Thus, we can understand that the LCM of 506,391,713,177 is 47199174.

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

• LCM of 892, 517, 317, 743
• LCM of 907, 656, 926, 348
• LCM of 455, 324, 499, 839
• LCM of 864, 907, 745, 647
• LCM of 618, 327, 141, 501

1. What is the LCM of 506, 391, 713, 177?

Answer: LCM of 506, 391, 713, 177 is 47199174.

2. How to calculate the LCM of 506, 391, 713, 177?

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 506, 391, 713, 177.

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}.