Given numbers are 141,390,456,894

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

The LCM of 141,390,456,894 is 207568920.

Find LCM of 141,390,456,894 with Prime Factorization

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

2 x 3 x 47 x 65 x 76 x 149 = 207568920

Therefore, the lowest common multiple of 141,390,456,894 is 207568920.

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.

141 x 390 x 456 x 894 = 22417443360

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.

141 : 1, 3, 47, 141

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,390,456,894, is 3.

Now, the common factors can be found like this.

141:3x 47

390:2x 3x 5x 13

456:2x 2x 2x 3x 19

894:2x 3x 149

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 3 = 36

Therefore, the value for common factors is 36.

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 = 22417443360/(3x36)

LCM = 22417443360/108

LCM = 207568920

Thus, we can understand that the LCM of 141,390,456,894 is 207568920.

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

• LCM of 364, 287, 469, 810
• LCM of 469, 945, 355, 164
• LCM of 139, 741, 441, 300
• LCM of 394, 871, 452, 530
• LCM of 750, 826, 431, 728

1. What is the LCM of 141, 390, 456, 894?

Answer: LCM of 141, 390, 456, 894 is 207568920.

2. How to calculate the LCM of 141, 390, 456, 894?

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 141, 390, 456, 894.

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}.