Given numbers are 624,701,668,900

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

The LCM of 624,701,668,900 is 5478735600.

Find LCM of 624,701,668,900 with Prime Factorization

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

2 x 2 x 3 x 52 x 701 x 167 x 75 = 5478735600

Therefore, the lowest common multiple of 624,701,668,900 is 5478735600.

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.

624 x 701 x 668 x 900 = 262979308800

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

701 : 1, 701

668 : 1, 2, 4, 167, 334, 668

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,701,668,900, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

701:701

668:2x 2x 167

900:2x 2x 3x 3x 5x 5

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 262979308800/(1x48)

LCM = 262979308800/48

LCM = 5478735600

Thus, we can understand that the LCM of 624,701,668,900 is 5478735600.

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

• LCM of 427, 857, 662, 511
• LCM of 269, 192, 445, 694
• LCM of 989, 218, 372, 558
• LCM of 953, 907, 945, 149
• LCM of 316, 626, 331, 505

1. What is the LCM of 624, 701, 668, 900?

Answer: LCM of 624, 701, 668, 900 is 5478735600.

2. How to calculate the LCM of 624, 701, 668, 900?

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 624, 701, 668, 900.

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}.