Given numbers are 314,295,207,546,736

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

The LCM of 314,295,207,546,736 is 27917940960.

Find LCM of 314,295,207,546,736 with Prime Factorization

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

2 x 3 x 23 x 157 x 295 x 3 x 91 x 16 = 27917940960

Therefore, the lowest common multiple of 314,295,207,546,736 is 27917940960.

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.

314 x 295 x 207 x 546 x 736 = 7705351704960

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.

314 : 1, 2, 157, 314

295 : 1, 5, 59, 295

207 : 1, 3, 9, 23, 69, 207

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,295,207,546,736, is 1.

Now, the common factors can be found like this.

314:2x 157

295:5x 59

207:3x 3x 23

546:2x 3x 7x 13

736:2x 2x 2x 2x 2x 23

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 23 = 276

Therefore, the value for common factors is 276.

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 = 7705351704960/(1x276)

LCM = 7705351704960/276

LCM = 27917940960

Thus, we can understand that the LCM of 314,295,207,546,736 is 27917940960.

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

• LCM of 826, 299, 223, 569, 300
• LCM of 730, 562, 721, 529, 465
• LCM of 143, 137, 580, 113, 344
• LCM of 814, 947, 359, 836, 923
• LCM of 842, 303, 477, 443, 453

1. What is the LCM of 314, 295, 207, 546, 736?

Answer: LCM of 314, 295, 207, 546, 736 is 27917940960.

2. How to calculate the LCM of 314, 295, 207, 546, 736?

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 314, 295, 207, 546, 736.

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}.