Given numbers are 121,326,684,956,414

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

The LCM of 121,326,684,956,414 is 74157454404.

Find LCM of 121,326,684,956,414 with Prime Factorization

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

2 x 2 x 3 x 3 x 121 x 163 x 19 x 239 x 23 = 74157454404

Therefore, the lowest common multiple of 121,326,684,956,414 is 74157454404.

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.

121 x 326 x 684 x 956 x 414 = 10678673434176

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.

121 : 1, 11, 121

326 : 1, 2, 163, 326

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

956 : 1, 2, 4, 239, 478, 956

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 121,326,684,956,414, is 1.

Now, the common factors can be found like this.

121:11x 11

326:2x 163

684:2x 2x 3x 3x 19

956:2x 2x 239

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 10678673434176/(1x144)

LCM = 10678673434176/144

LCM = 74157454404

Thus, we can understand that the LCM of 121,326,684,956,414 is 74157454404.

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

• LCM of 324, 323, 655, 443, 219
• LCM of 881, 449, 548, 142, 289
• LCM of 902, 436, 313, 278, 963
• LCM of 618, 228, 282, 633, 300
• LCM of 971, 813, 237, 213, 892

1. What is the LCM of 121, 326, 684, 956, 414?

Answer: LCM of 121, 326, 684, 956, 414 is 74157454404.

2. How to calculate the LCM of 121, 326, 684, 956, 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 121, 326, 684, 956, 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}.