Given numbers are 271,214,708,987

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

The LCM of 271,214,708,987 is 6754329204.

Find LCM of 271,214,708,987 with Prime Factorization

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

2 x 3 x 271 x 107 x 118 x 329 = 6754329204

Therefore, the lowest common multiple of 271,214,708,987 is 6754329204.

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 214 x 708 x 987 = 40525975224

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

214 : 1, 2, 107, 214

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,214,708,987, is 1.

Now, the common factors can be found like this.

271:271

214:2x 107

708:2x 2x 3x 59

987:3x 7x 47

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 40525975224/(1x6)

LCM = 40525975224/6

LCM = 6754329204

Thus, we can understand that the LCM of 271,214,708,987 is 6754329204.

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

• LCM of 171, 835, 563, 601
• LCM of 926, 964, 727, 874
• LCM of 696, 237, 836, 946
• LCM of 686, 719, 319, 979
• LCM of 860, 641, 458, 795

1. What is the LCM of 271, 214, 708, 987?

Answer: LCM of 271, 214, 708, 987 is 6754329204.

2. How to calculate the LCM of 271, 214, 708, 987?

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, 214, 708, 987.

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}.