Given numbers are 678,304,406,113

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

The LCM of 678,304,406,113 is 20920368.

Find LCM of 678,304,406,113 with Prime Factorization

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

2 x 113 x 3 x 152 x 203 x 1 = 20920368

Therefore, the lowest common multiple of 678,304,406,113 is 20920368.

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 304 x 406 x 113 = 9456006336

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

406 : 1, 2, 7, 14, 29, 58, 203, 406

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,304,406,113, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

304:2x 2x 2x 2x 19

406:2x 7x 29

113:113

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 113 = 452

Therefore, the value for common factors is 452.

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 = 9456006336/(1x452)

LCM = 9456006336/452

LCM = 20920368

Thus, we can understand that the LCM of 678,304,406,113 is 20920368.

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

• LCM of 253, 349, 846, 309
• LCM of 726, 600, 574, 965
• LCM of 837, 919, 141, 146
• LCM of 978, 667, 163, 572
• LCM of 310, 614, 251, 517

1. What is the LCM of 678, 304, 406, 113?

Answer: LCM of 678, 304, 406, 113 is 20920368.

2. How to calculate the LCM of 678, 304, 406, 113?

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, 304, 406, 113.

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}.