Given numbers are 214,177,107,755,301

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

The LCM of 214,177,107,755,301 is 8607964890.

Find LCM of 214,177,107,755,301 with Prime Factorization

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

107 x 2 x 177 x 1 x 755 x 301 = 8607964890

Therefore, the lowest common multiple of 214,177,107,755,301 is 8607964890.

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 177 x 107 x 755 x 301 = 921052243230

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

177 : 1, 3, 59, 177

107 : 1, 107

755 : 1, 5, 151, 755

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,177,107,755,301, is 1.

Now, the common factors can be found like this.

214:2x 107

177:3x 59

107:107

755:5x 151

301:7x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

107 = 107

Therefore, the value for common factors is 107.

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 = 921052243230/(1x107)

LCM = 921052243230/107

LCM = 8607964890

Thus, we can understand that the LCM of 214,177,107,755,301 is 8607964890.

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

• LCM of 427, 828, 620, 575, 520
• LCM of 758, 922, 420, 186, 298
• LCM of 351, 304, 632, 795, 150
• LCM of 959, 489, 967, 337, 277
• LCM of 384, 340, 780, 447, 266

1. What is the LCM of 214, 177, 107, 755, 301?

Answer: LCM of 214, 177, 107, 755, 301 is 8607964890.

2. How to calculate the LCM of 214, 177, 107, 755, 301?

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, 177, 107, 755, 301.

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}.