Given numbers are 752,865,173,461

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

The LCM of 752,865,173,461 is 299871280.

Find LCM of 752,865,173,461 with Prime Factorization

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

173 x 752 x 5 x 1 x 461 = 299871280

Therefore, the lowest common multiple of 752,865,173,461 is 299871280.

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.

752 x 865 x 173 x 461 = 51877731440

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

865 : 1, 5, 173, 865

173 : 1, 173

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,865,173,461, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

865:5x 173

173:173

461:461

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

173 = 173

Therefore, the value for common factors is 173.

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 = 51877731440/(1x173)

LCM = 51877731440/173

LCM = 299871280

Thus, we can understand that the LCM of 752,865,173,461 is 299871280.

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

• LCM of 355, 262, 525, 756
• LCM of 949, 451, 932, 535
• LCM of 564, 453, 693, 982
• LCM of 747, 914, 864, 251
• LCM of 905, 290, 766, 409

1. What is the LCM of 752, 865, 173, 461?

Answer: LCM of 752, 865, 173, 461 is 299871280.

2. How to calculate the LCM of 752, 865, 173, 461?

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 752, 865, 173, 461.

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}.