Given numbers are 614,229,828,630

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

The LCM of 614,229,828,630 is 2037380940.

Find LCM of 614,229,828,630 with Prime Factorization

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

2 x 3 x 3 x 307 x 229 x 46 x 35 = 2037380940

Therefore, the lowest common multiple of 614,229,828,630 is 2037380940.

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.

614 x 229 x 828 x 630 = 73345713840

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.

614 : 1, 2, 307, 614

229 : 1, 229

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 614,229,828,630, is 1.

Now, the common factors can be found like this.

614:2x 307

229:229

828:2x 2x 3x 3x 23

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 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 = 73345713840/(1x36)

LCM = 73345713840/36

LCM = 2037380940

Thus, we can understand that the LCM of 614,229,828,630 is 2037380940.

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

• LCM of 910, 497, 594, 174
• LCM of 698, 292, 371, 165
• LCM of 453, 495, 305, 150
• LCM of 604, 600, 802, 931
• LCM of 339, 398, 996, 391

1. What is the LCM of 614, 229, 828, 630?

Answer: LCM of 614, 229, 828, 630 is 2037380940.

2. How to calculate the LCM of 614, 229, 828, 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 614, 229, 828, 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}.