Given numbers are 112,151,713,414

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

The LCM of 112,151,713,414 is 108524304.

Find LCM of 112,151,713,414 with Prime Factorization

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

2 x 23 x 56 x 151 x 31 x 9 = 108524304

Therefore, the lowest common multiple of 112,151,713,414 is 108524304.

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.

112 x 151 x 713 x 414 = 4992117984

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

151 : 1, 151

713 : 1, 23, 31, 713

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 112,151,713,414, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

151:151

713:23x 31

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 23 = 46

Therefore, the value for common factors is 46.

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 = 4992117984/(1x46)

LCM = 4992117984/46

LCM = 108524304

Thus, we can understand that the LCM of 112,151,713,414 is 108524304.

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

• LCM of 369, 211, 374, 456
• LCM of 570, 939, 736, 339
• LCM of 934, 748, 305, 940
• LCM of 380, 705, 997, 268
• LCM of 456, 560, 673, 215

1. What is the LCM of 112, 151, 713, 414?

Answer: LCM of 112, 151, 713, 414 is 108524304.

2. How to calculate the LCM of 112, 151, 713, 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 112, 151, 713, 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}.