Given numbers are 971,304,546,116,302

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

The LCM of 971,304,546,116,302 is 352882730928.

Find LCM of 971,304,546,116,302 with Prime Factorization

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

2 x 2 x 971 x 76 x 273 x 29 x 151 = 352882730928

Therefore, the lowest common multiple of 971,304,546,116,302 is 352882730928.

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 304 x 546 x 116 x 302 = 5646123694848

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

116 : 1, 2, 4, 29, 58, 116

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,304,546,116,302, is 1.

Now, the common factors can be found like this.

971:971

304:2x 2x 2x 2x 19

546:2x 3x 7x 13

116:2x 2x 29

302:2x 151

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 5646123694848/(1x16)

LCM = 5646123694848/16

LCM = 352882730928

Thus, we can understand that the LCM of 971,304,546,116,302 is 352882730928.

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

• LCM of 150, 258, 323, 874, 303
• LCM of 976, 626, 232, 617, 756
• LCM of 455, 509, 283, 928, 304
• LCM of 789, 988, 726, 698, 407
• LCM of 604, 440, 557, 883, 335

1. What is the LCM of 971, 304, 546, 116, 302?

Answer: LCM of 971, 304, 546, 116, 302 is 352882730928.

2. How to calculate the LCM of 971, 304, 546, 116, 302?

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, 304, 546, 116, 302.

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}.