Given numbers are 230,978,420,713

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

The LCM of 230,978,420,713 is 48811980.

Find LCM of 230,978,420,713 with Prime Factorization

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

2 x 3 x 5 x 23 x 1 x 163 x 14 x 31 = 48811980

Therefore, the lowest common multiple of 230,978,420,713 is 48811980.

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.

230 x 978 x 420 x 713 = 67360532400

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

978 : 1, 2, 3, 6, 163, 326, 489, 978

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,978,420,713, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

978:2x 3x 163

420:2x 2x 3x 5x 7

713:23x 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 3x 5x 23 = 1380

Therefore, the value for common factors is 1380.

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 = 67360532400/(1x1380)

LCM = 67360532400/1380

LCM = 48811980

Thus, we can understand that the LCM of 230,978,420,713 is 48811980.

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

• LCM of 262, 870, 184, 545
• LCM of 143, 360, 543, 952
• LCM of 200, 786, 580, 405
• LCM of 946, 438, 765, 463
• LCM of 123, 221, 820, 333

1. What is the LCM of 230, 978, 420, 713?

Answer: LCM of 230, 978, 420, 713 is 48811980.

2. How to calculate the LCM of 230, 978, 420, 713?

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 230, 978, 420, 713.

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}.