Given numbers are 414,613,133,112

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

The LCM of 414,613,133,112 is 270024048.

Find LCM of 414,613,133,112 with Prime Factorization

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

2 x 7 x 207 x 613 x 19 x 8 = 270024048

Therefore, the lowest common multiple of 414,613,133,112 is 270024048.

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.

414 x 613 x 133 x 112 = 3780336672

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.

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

613 : 1, 613

133 : 1, 7, 19, 133

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,613,133,112, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

613:613

133:7x 19

112:2x 2x 2x 2x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 3780336672/(1x14)

LCM = 3780336672/14

LCM = 270024048

Thus, we can understand that the LCM of 414,613,133,112 is 270024048.

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

• LCM of 457, 250, 378, 400
• LCM of 255, 388, 744, 122
• LCM of 159, 268, 426, 284
• LCM of 112, 650, 339, 699
• LCM of 976, 347, 847, 638

1. What is the LCM of 414, 613, 133, 112?

Answer: LCM of 414, 613, 133, 112 is 270024048.

2. How to calculate the LCM of 414, 613, 133, 112?

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 414, 613, 133, 112.

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}.