Given numbers are 514,236,728,724,276

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

The LCM of 514,236,728,724,276 is 137861874696.

Find LCM of 514,236,728,724,276 with Prime Factorization

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

2 x 2 x 257 x 59 x 182 x 181 x 69 = 137861874696

Therefore, the lowest common multiple of 514,236,728,724,276 is 137861874696.

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.

514 x 236 x 728 x 724 x 276 = 17646319961088

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.

514 : 1, 2, 257, 514

236 : 1, 2, 4, 59, 118, 236

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,236,728,724,276, is 2.

Now, the common factors can be found like this.

514:2x 257

236:2x 2x 59

728:2x 2x 2x 7x 13

724:2x 2x 181

276:2x 2x 3x 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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 17646319961088/(2x64)

LCM = 17646319961088/128

LCM = 137861874696

Thus, we can understand that the LCM of 514,236,728,724,276 is 137861874696.

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

• LCM of 116, 924, 838, 246, 701
• LCM of 430, 365, 476, 386, 188
• LCM of 213, 315, 827, 148, 909
• LCM of 495, 599, 640, 794, 530
• LCM of 519, 149, 182, 288, 224

1. What is the LCM of 514, 236, 728, 724, 276?

Answer: LCM of 514, 236, 728, 724, 276 is 137861874696.

2. How to calculate the LCM of 514, 236, 728, 724, 276?

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 514, 236, 728, 724, 276.

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}.