Given numbers are 684,857,714,678

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

The LCM of 684,857,714,678 is 7882470036.

Find LCM of 684,857,714,678 with Prime Factorization

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

2 x 3 x 114 x 857 x 119 x 113 = 7882470036

Therefore, the lowest common multiple of 684,857,714,678 is 7882470036.

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.

684 x 857 x 714 x 678 = 283768921296

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.

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

857 : 1, 857

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

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,857,714,678, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

857:857

714:2x 3x 7x 17

678:2x 3x 113

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 3 = 36

Therefore, the value for common factors is 36.

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 = 283768921296/(1x36)

LCM = 283768921296/36

LCM = 7882470036

Thus, we can understand that the LCM of 684,857,714,678 is 7882470036.

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

• LCM of 638, 122, 518, 528
• LCM of 313, 390, 907, 280
• LCM of 187, 298, 408, 839
• LCM of 705, 609, 581, 743
• LCM of 384, 157, 377, 956

1. What is the LCM of 684, 857, 714, 678?

Answer: LCM of 684, 857, 714, 678 is 7882470036.

2. How to calculate the LCM of 684, 857, 714, 678?

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 684, 857, 714, 678.

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}.