Given numbers are 278,327,183,307,630

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

The LCM of 278,327,183,307,630 is 178751649510.

Find LCM of 278,327,183,307,630 with Prime Factorization

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

2 x 3 x 139 x 109 x 61 x 307 x 105 = 178751649510

Therefore, the lowest common multiple of 278,327,183,307,630 is 178751649510.

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.

278 x 327 x 183 x 307 x 630 = 3217529691180

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.

278 : 1, 2, 139, 278

327 : 1, 3, 109, 327

183 : 1, 3, 61, 183

307 : 1, 307

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,327,183,307,630, is 1.

Now, the common factors can be found like this.

278:2x 139

327:3x 109

183:3x 61

307:307

630:2x 3x 3x 5x 7

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3217529691180/(1x18)

LCM = 3217529691180/18

LCM = 178751649510

Thus, we can understand that the LCM of 278,327,183,307,630 is 178751649510.

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

• LCM of 308, 101, 931, 576, 218
• LCM of 141, 934, 192, 349, 944
• LCM of 623, 181, 143, 495, 361
• LCM of 100, 914, 777, 496, 415
• LCM of 826, 190, 589, 700, 757

1. What is the LCM of 278, 327, 183, 307, 630?

Answer: LCM of 278, 327, 183, 307, 630 is 178751649510.

2. How to calculate the LCM of 278, 327, 183, 307, 630?

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 278, 327, 183, 307, 630.

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}.