Given numbers are 312,540,714,247,248

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

The LCM of 312,540,714,247,248 is 984077640.

Find LCM of 312,540,714,247,248 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 45 x 119 x 19 x 31 = 984077640

Therefore, the lowest common multiple of 312,540,714,247,248 is 984077640.

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.

312 x 540 x 714 x 247 x 248 = 7368773368320

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

247 : 1, 13, 19, 247

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,540,714,247,248, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

540:2x 2x 3x 3x 3x 5

714:2x 3x 7x 17

247:13x 19

248:2x 2x 2x 31

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 2x 2x 2x 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 7368773368320/(1x7488)

LCM = 7368773368320/7488

LCM = 984077640

Thus, we can understand that the LCM of 312,540,714,247,248 is 984077640.

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

• LCM of 225, 275, 993, 559, 780
• LCM of 126, 992, 768, 613, 181
• LCM of 225, 794, 960, 280, 528
• LCM of 524, 530, 620, 684, 540
• LCM of 819, 315, 331, 999, 669

1. What is the LCM of 312, 540, 714, 247, 248?

Answer: LCM of 312, 540, 714, 247, 248 is 984077640.

2. How to calculate the LCM of 312, 540, 714, 247, 248?

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 312, 540, 714, 247, 248.

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}.