Given numbers are 960,115,346,930

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

The LCM of 960,115,346,930 is 118415040.

Find LCM of 960,115,346,930 with Prime Factorization

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

2 x 3 x 5 x 32 x 23 x 173 x 31 = 118415040

Therefore, the lowest common multiple of 960,115,346,930 is 118415040.

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.

960 x 115 x 346 x 930 = 35524512000

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

115 : 1, 5, 23, 115

346 : 1, 2, 173, 346

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,115,346,930, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

115:5x 23

346:2x 173

930:2x 3x 5x 31

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 35524512000/(1x300)

LCM = 35524512000/300

LCM = 118415040

Thus, we can understand that the LCM of 960,115,346,930 is 118415040.

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

• LCM of 491, 558, 120, 697
• LCM of 519, 729, 953, 582
• LCM of 923, 872, 727, 371
• LCM of 361, 224, 344, 223
• LCM of 370, 503, 391, 314

1. What is the LCM of 960, 115, 346, 930?

Answer: LCM of 960, 115, 346, 930 is 118415040.

2. How to calculate the LCM of 960, 115, 346, 930?

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 960, 115, 346, 930.

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}.