Given numbers are 751,114,312,102,414

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

The LCM of 751,114,312,102,414 is 5222111544.

Find LCM of 751,114,312,102,414 with Prime Factorization

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

2 x 3 x 751 x 19 x 52 x 17 x 69 = 5222111544

Therefore, the lowest common multiple of 751,114,312,102,414 is 5222111544.

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.

751 x 114 x 312 x 102 x 414 = 1127976093504

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.

751 : 1, 751

114 : 1, 2, 3, 6, 19, 38, 57, 114

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

102 : 1, 2, 3, 6, 17, 34, 51, 102

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,114,312,102,414, is 1.

Now, the common factors can be found like this.

751:751

114:2x 3x 19

312:2x 2x 2x 3x 13

102:2x 3x 17

414:2x 3x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 1127976093504/(1x216)

LCM = 1127976093504/216

LCM = 5222111544

Thus, we can understand that the LCM of 751,114,312,102,414 is 5222111544.

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

• LCM of 934, 970, 771, 430, 915
• LCM of 213, 126, 420, 924, 546
• LCM of 167, 543, 227, 388, 138
• LCM of 550, 542, 639, 884, 544
• LCM of 432, 315, 966, 904, 811

1. What is the LCM of 751, 114, 312, 102, 414?

Answer: LCM of 751, 114, 312, 102, 414 is 5222111544.

2. How to calculate the LCM of 751, 114, 312, 102, 414?

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 751, 114, 312, 102, 414.

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}.