Given numbers are 517,214,752,161

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

The LCM of 517,214,752,161 is 142501744.

Find LCM of 517,214,752,161 with Prime Factorization

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

2 x 47 x 11 x 107 x 8 x 161 = 142501744

Therefore, the lowest common multiple of 517,214,752,161 is 142501744.

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.

517 x 214 x 752 x 161 = 13395163936

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.

517 : 1, 11, 47, 517

214 : 1, 2, 107, 214

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

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,214,752,161, is 1.

Now, the common factors can be found like this.

517:11x 47

214:2x 107

752:2x 2x 2x 2x 47

161:7x 23

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

2x 47 = 94

Therefore, the value for common factors is 94.

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 = 13395163936/(1x94)

LCM = 13395163936/94

LCM = 142501744

Thus, we can understand that the LCM of 517,214,752,161 is 142501744.

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

• LCM of 978, 387, 226, 876
• LCM of 823, 502, 966, 226
• LCM of 293, 167, 300, 568
• LCM of 674, 794, 654, 149
• LCM of 823, 280, 665, 445

1. What is the LCM of 517, 214, 752, 161?

Answer: LCM of 517, 214, 752, 161 is 142501744.

2. How to calculate the LCM of 517, 214, 752, 161?

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 517, 214, 752, 161.

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}.