Given numbers are 296,684,102,201,307

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

The LCM of 296,684,102,201,307 is 17699048568.

Find LCM of 296,684,102,201,307 with Prime Factorization

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

2 x 2 x 3 x 74 x 57 x 17 x 67 x 307 = 17699048568

Therefore, the lowest common multiple of 296,684,102,201,307 is 17699048568.

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.

296 x 684 x 102 x 201 x 307 = 1274331496896

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.

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

102 : 1, 2, 3, 6, 17, 34, 51, 102

201 : 1, 3, 67, 201

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,684,102,201,307, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

684:2x 2x 3x 3x 19

102:2x 3x 17

201:3x 67

307:307

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

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 1274331496896/(1x72)

LCM = 1274331496896/72

LCM = 17699048568

Thus, we can understand that the LCM of 296,684,102,201,307 is 17699048568.

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

• LCM of 722, 229, 325, 989, 692
• LCM of 961, 512, 187, 918, 124
• LCM of 150, 491, 993, 820, 343
• LCM of 168, 860, 153, 584, 975
• LCM of 939, 213, 693, 500, 557

1. What is the LCM of 296, 684, 102, 201, 307?

Answer: LCM of 296, 684, 102, 201, 307 is 17699048568.

2. How to calculate the LCM of 296, 684, 102, 201, 307?

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 296, 684, 102, 201, 307.

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}.