Given numbers are 313,217,589,141

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

The LCM of 313,217,589,141 is 181960359.

Find LCM of 313,217,589,141 with Prime Factorization

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

31 x 313 x 7 x 19 x 141 = 181960359

Therefore, the lowest common multiple of 313,217,589,141 is 181960359.

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.

313 x 217 x 589 x 141 = 5640771129

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.

313 : 1, 313

217 : 1, 7, 31, 217

589 : 1, 19, 31, 589

141 : 1, 3, 47, 141

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,217,589,141, is 1.

Now, the common factors can be found like this.

313:313

217:7x 31

589:19x 31

141:3x 47

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

31 = 31

Therefore, the value for common factors is 31.

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 = 5640771129/(1x31)

LCM = 5640771129/31

LCM = 181960359

Thus, we can understand that the LCM of 313,217,589,141 is 181960359.

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

• LCM of 894, 488, 303, 300
• LCM of 629, 929, 892, 970
• LCM of 831, 171, 462, 407
• LCM of 826, 761, 200, 600
• LCM of 671, 558, 178, 489

1. What is the LCM of 313, 217, 589, 141?

Answer: LCM of 313, 217, 589, 141 is 181960359.

2. How to calculate the LCM of 313, 217, 589, 141?

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 313, 217, 589, 141.

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}.