Given numbers are 271,724,720,762,966

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

The LCM of 271,724,720,762,966 is 722120973840.

Find LCM of 271,724,720,762,966 with Prime Factorization

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

2 x 2 x 3 x 271 x 181 x 60 x 127 x 161 = 722120973840

Therefore, the lowest common multiple of 271,724,720,762,966 is 722120973840.

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.

271 x 724 x 720 x 762 x 966 = 103985420232960

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.

271 : 1, 271

724 : 1, 2, 4, 181, 362, 724

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

762 : 1, 2, 3, 6, 127, 254, 381, 762

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,724,720,762,966, is 1.

Now, the common factors can be found like this.

271:271

724:2x 2x 181

720:2x 2x 2x 2x 3x 3x 5

762:2x 3x 127

966:2x 3x 7x 23

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 103985420232960/(1x144)

LCM = 103985420232960/144

LCM = 722120973840

Thus, we can understand that the LCM of 271,724,720,762,966 is 722120973840.

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

• LCM of 666, 397, 803, 872, 504
• LCM of 381, 567, 489, 528, 496
• LCM of 492, 129, 603, 686, 853
• LCM of 711, 942, 355, 190, 238
• LCM of 247, 906, 234, 539, 473

1. What is the LCM of 271, 724, 720, 762, 966?

Answer: LCM of 271, 724, 720, 762, 966 is 722120973840.

2. How to calculate the LCM of 271, 724, 720, 762, 966?

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 271, 724, 720, 762, 966.

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}.