Given numbers are 678,840,421,333,313

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

The LCM of 678,840,421,333,313 is 1388376140760.

Find LCM of 678,840,421,333,313 with Prime Factorization

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

2 x 3 x 113 x 140 x 421 x 111 x 313 = 1388376140760

Therefore, the lowest common multiple of 678,840,421,333,313 is 1388376140760.

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.

678 x 840 x 421 x 333 x 313 = 24990770533680

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.

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

421 : 1, 421

333 : 1, 3, 9, 37, 111, 333

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,840,421,333,313, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

840:2x 2x 2x 3x 5x 7

421:421

333:3x 3x 37

313:313

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 = 24990770533680/(1x18)

LCM = 24990770533680/18

LCM = 1388376140760

Thus, we can understand that the LCM of 678,840,421,333,313 is 1388376140760.

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

• LCM of 851, 776, 712, 841, 667
• LCM of 473, 530, 524, 157, 845
• LCM of 496, 704, 977, 878, 580
• LCM of 510, 970, 756, 678, 180
• LCM of 574, 393, 709, 100, 863

1. What is the LCM of 678, 840, 421, 333, 313?

Answer: LCM of 678, 840, 421, 333, 313 is 1388376140760.

2. How to calculate the LCM of 678, 840, 421, 333, 313?

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 678, 840, 421, 333, 313.

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}.