Given numbers are 277,749,471,321,306

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

The LCM of 277,749,471,321,306 is 9967417866.

Find LCM of 277,749,471,321,306 with Prime Factorization

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

3 x 107 x 277 x 7 x 157 x 1 x 102 = 9967417866

Therefore, the lowest common multiple of 277,749,471,321,306 is 9967417866.

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.

277 x 749 x 471 x 321 x 306 = 9598623404958

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.

277 : 1, 277

749 : 1, 7, 107, 749

471 : 1, 3, 157, 471

321 : 1, 3, 107, 321

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,749,471,321,306, is 1.

Now, the common factors can be found like this.

277:277

749:7x 107

471:3x 157

321:3x 107

306:2x 3x 3x 17

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

3x 3x 107 = 963

Therefore, the value for common factors is 963.

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 = 9598623404958/(1x963)

LCM = 9598623404958/963

LCM = 9967417866

Thus, we can understand that the LCM of 277,749,471,321,306 is 9967417866.

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

• LCM of 214, 771, 169, 770, 195
• LCM of 928, 774, 932, 476, 559
• LCM of 144, 254, 743, 470, 938
• LCM of 149, 172, 576, 489, 477
• LCM of 852, 162, 535, 692, 275

1. What is the LCM of 277, 749, 471, 321, 306?

Answer: LCM of 277, 749, 471, 321, 306 is 9967417866.

2. How to calculate the LCM of 277, 749, 471, 321, 306?

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 277, 749, 471, 321, 306.

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}.