Given numbers are 861,302,296,614

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

The LCM of 861,302,296,614 is 11814359592.

Find LCM of 861,302,296,614 with Prime Factorization

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

2 x 861 x 151 x 148 x 307 = 11814359592

Therefore, the lowest common multiple of 861,302,296,614 is 11814359592.

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.

861 x 302 x 296 x 614 = 47257438368

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

302 : 1, 2, 151, 302

296 : 1, 2, 4, 8, 37, 74, 148, 296

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,302,296,614, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

302:2x 151

296:2x 2x 2x 37

614:2x 307

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 47257438368/(1x4)

LCM = 47257438368/4

LCM = 11814359592

Thus, we can understand that the LCM of 861,302,296,614 is 11814359592.

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

• LCM of 500, 254, 610, 534
• LCM of 234, 533, 921, 617
• LCM of 119, 227, 838, 685
• LCM of 866, 911, 393, 206
• LCM of 544, 320, 375, 686

1. What is the LCM of 861, 302, 296, 614?

Answer: LCM of 861, 302, 296, 614 is 11814359592.

2. How to calculate the LCM of 861, 302, 296, 614?

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 861, 302, 296, 614.

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}.