Given numbers are 414,121,914,168,829

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

The LCM of 414,121,914,168,829 is 531391341096.

Find LCM of 414,121,914,168,829 with Prime Factorization

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

2 x 3 x 69 x 121 x 457 x 28 x 829 = 531391341096

Therefore, the lowest common multiple of 414,121,914,168,829 is 531391341096.

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 121 x 914 x 168 x 829 = 6376696093152

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

121 : 1, 11, 121

914 : 1, 2, 457, 914

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,121,914,168,829, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

121:11x 11

914:2x 457

168:2x 2x 2x 3x 7

829:829

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 3 = 12

Therefore, the value for common factors is 12.

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 = 6376696093152/(1x12)

LCM = 6376696093152/12

LCM = 531391341096

Thus, we can understand that the LCM of 414,121,914,168,829 is 531391341096.

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

• LCM of 555, 921, 602, 647, 277
• LCM of 328, 221, 818, 318, 757
• LCM of 661, 375, 367, 186, 823
• LCM of 360, 184, 881, 512, 719
• LCM of 500, 185, 971, 631, 206

1. What is the LCM of 414, 121, 914, 168, 829?

Answer: LCM of 414, 121, 914, 168, 829 is 531391341096.

2. How to calculate the LCM of 414, 121, 914, 168, 829?

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, 121, 914, 168, 829.

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}.