Given numbers are 894,358,477,141,924

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

The LCM of 894,358,477,141,924 is 184164641892.

Find LCM of 894,358,477,141,924 with Prime Factorization

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

2 x 3 x 149 x 179 x 159 x 47 x 154 = 184164641892

Therefore, the lowest common multiple of 894,358,477,141,924 is 184164641892.

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.

894 x 358 x 477 x 141 x 924 = 19889781324336

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

358 : 1, 2, 179, 358

477 : 1, 3, 9, 53, 159, 477

141 : 1, 3, 47, 141

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,358,477,141,924, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

358:2x 179

477:3x 3x 53

141:3x 47

924:2x 2x 3x 7x 11

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 19889781324336/(1x108)

LCM = 19889781324336/108

LCM = 184164641892

Thus, we can understand that the LCM of 894,358,477,141,924 is 184164641892.

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

• LCM of 761, 133, 202, 634, 669
• LCM of 146, 614, 402, 814, 208
• LCM of 161, 496, 819, 849, 615
• LCM of 394, 537, 880, 156, 445
• LCM of 707, 950, 835, 861, 309

1. What is the LCM of 894, 358, 477, 141, 924?

Answer: LCM of 894, 358, 477, 141, 924 is 184164641892.

2. How to calculate the LCM of 894, 358, 477, 141, 924?

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 894, 358, 477, 141, 924.

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}.