Given numbers are 971,305,214,104

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

The LCM of 971,305,214,104 is 3295612840.

Find LCM of 971,305,214,104 with Prime Factorization

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

2 x 971 x 305 x 107 x 52 = 3295612840

Therefore, the lowest common multiple of 971,305,214,104 is 3295612840.

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.

971 x 305 x 214 x 104 = 6591225680

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.

971 : 1, 971

305 : 1, 5, 61, 305

214 : 1, 2, 107, 214

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,305,214,104, is 1.

Now, the common factors can be found like this.

971:971

305:5x 61

214:2x 107

104:2x 2x 2x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 6591225680/(1x2)

LCM = 6591225680/2

LCM = 3295612840

Thus, we can understand that the LCM of 971,305,214,104 is 3295612840.

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

• LCM of 650, 472, 740, 396
• LCM of 792, 852, 161, 172
• LCM of 241, 804, 221, 127
• LCM of 899, 299, 809, 366
• LCM of 105, 516, 832, 203

1. What is the LCM of 971, 305, 214, 104?

Answer: LCM of 971, 305, 214, 104 is 3295612840.

2. How to calculate the LCM of 971, 305, 214, 104?

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 971, 305, 214, 104.

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}.