Given numbers are 578,306,713,700

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

The LCM of 578,306,713,700 is 1298159100.

Find LCM of 578,306,713,700 with Prime Factorization

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

2 x 17 x 17 x 9 x 713 x 350 = 1298159100

Therefore, the lowest common multiple of 578,306,713,700 is 1298159100.

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.

578 x 306 x 713 x 700 = 88274818800

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.

578 : 1, 2, 17, 34, 289, 578

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

713 : 1, 23, 31, 713

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,306,713,700, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

306:2x 3x 3x 17

713:23x 31

700:2x 2x 5x 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 17 = 68

Therefore, the value for common factors is 68.

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 = 88274818800/(1x68)

LCM = 88274818800/68

LCM = 1298159100

Thus, we can understand that the LCM of 578,306,713,700 is 1298159100.

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

• LCM of 422, 120, 421, 396
• LCM of 680, 359, 392, 802
• LCM of 915, 104, 635, 161
• LCM of 342, 947, 689, 880
• LCM of 540, 361, 248, 218

1. What is the LCM of 578, 306, 713, 700?

Answer: LCM of 578, 306, 713, 700 is 1298159100.

2. How to calculate the LCM of 578, 306, 713, 700?

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 578, 306, 713, 700.

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}.