Given numbers are 507,852,268,681,939

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

The LCM of 507,852,268,681,939 is 685442922996.

Find LCM of 507,852,268,681,939 with Prime Factorization

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

2 x 2 x 3 x 169 x 71 x 67 x 227 x 313 = 685442922996

Therefore, the lowest common multiple of 507,852,268,681,939 is 685442922996.

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.

507 x 852 x 268 x 681 x 939 = 74027835683568

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.

507 : 1, 3, 13, 39, 169, 507

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

268 : 1, 2, 4, 67, 134, 268

681 : 1, 3, 227, 681

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,852,268,681,939, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

852:2x 2x 3x 71

268:2x 2x 67

681:3x 227

939:3x 313

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

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 74027835683568/(1x108)

LCM = 74027835683568/108

LCM = 685442922996

Thus, we can understand that the LCM of 507,852,268,681,939 is 685442922996.

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

• LCM of 618, 171, 150, 710, 162
• LCM of 262, 778, 396, 363, 960
• LCM of 722, 773, 556, 730, 296
• LCM of 859, 547, 404, 802, 305
• LCM of 969, 505, 380, 344, 362

1. What is the LCM of 507, 852, 268, 681, 939?

Answer: LCM of 507, 852, 268, 681, 939 is 685442922996.

2. How to calculate the LCM of 507, 852, 268, 681, 939?

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 507, 852, 268, 681, 939.

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}.