Given numbers are 821,752,122,305

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

The LCM of 821,752,122,305 is 188304560.

Find LCM of 821,752,122,305 with Prime Factorization

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

2 x 61 x 821 x 376 x 1 x 5 = 188304560

Therefore, the lowest common multiple of 821,752,122,305 is 188304560.

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.

821 x 752 x 122 x 305 = 22973156320

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.

821 : 1, 821

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

122 : 1, 2, 61, 122

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,752,122,305, is 1.

Now, the common factors can be found like this.

821:821

752:2x 2x 2x 2x 47

122:2x 61

305:5x 61

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 22973156320/(1x122)

LCM = 22973156320/122

LCM = 188304560

Thus, we can understand that the LCM of 821,752,122,305 is 188304560.

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

• LCM of 342, 347, 977, 498
• LCM of 815, 987, 803, 400
• LCM of 432, 932, 229, 238
• LCM of 372, 272, 880, 959
• LCM of 829, 260, 567, 790

1. What is the LCM of 821, 752, 122, 305?

Answer: LCM of 821, 752, 122, 305 is 188304560.

2. How to calculate the LCM of 821, 752, 122, 305?

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 821, 752, 122, 305.

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}.