Given numbers are 214,754,271,132,770

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

The LCM of 214,754,271,132,770 is 50505234780.

Find LCM of 214,754,271,132,770 with Prime Factorization

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

2 x 11 x 107 x 377 x 271 x 6 x 35 = 50505234780

Therefore, the lowest common multiple of 214,754,271,132,770 is 50505234780.

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 754 x 271 x 132 x 770 = 4444460660640

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

271 : 1, 271

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,754,271,132,770, is 1.

Now, the common factors can be found like this.

214:2x 107

754:2x 13x 29

271:271

132:2x 2x 3x 11

770:2x 5x 7x 11

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 11 = 88

Therefore, the value for common factors is 88.

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 = 4444460660640/(1x88)

LCM = 4444460660640/88

LCM = 50505234780

Thus, we can understand that the LCM of 214,754,271,132,770 is 50505234780.

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

• LCM of 401, 181, 655, 676, 466
• LCM of 771, 919, 234, 387, 204
• LCM of 916, 310, 188, 987, 373
• LCM of 231, 848, 198, 170, 906
• LCM of 801, 723, 299, 619, 570

1. What is the LCM of 214, 754, 271, 132, 770?

Answer: LCM of 214, 754, 271, 132, 770 is 50505234780.

2. How to calculate the LCM of 214, 754, 271, 132, 770?

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, 754, 271, 132, 770.

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}.