Given numbers are 214,291,630,600

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

The LCM of 214,291,630,600 is 130775400.

Find LCM of 214,291,630,600 with Prime Factorization

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

2 x 3 x 5 x 107 x 97 x 21 x 20 = 130775400

Therefore, the lowest common multiple of 214,291,630,600 is 130775400.

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.

214 x 291 x 630 x 600 = 23539572000

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.

214 : 1, 2, 107, 214

291 : 1, 3, 97, 291

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,291,630,600, is 1.

Now, the common factors can be found like this.

214:2x 107

291:3x 97

630:2x 3x 3x 5x 7

600:2x 2x 2x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 23539572000/(1x180)

LCM = 23539572000/180

LCM = 130775400

Thus, we can understand that the LCM of 214,291,630,600 is 130775400.

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

• LCM of 358, 287, 533, 899
• LCM of 492, 900, 868, 704
• LCM of 141, 310, 679, 251
• LCM of 883, 661, 965, 501
• LCM of 727, 947, 465, 265

1. What is the LCM of 214, 291, 630, 600?

Answer: LCM of 214, 291, 630, 600 is 130775400.

2. How to calculate the LCM of 214, 291, 630, 600?

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 214, 291, 630, 600.

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}.