Given numbers are 894,31,464,290

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

The LCM of 894,31,464,290 is 32148240.

Find LCM of 894,31,464,290 with Prime Factorization

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

2 x 29 x 447 x 31 x 8 x 5 = 32148240

Therefore, the lowest common multiple of 894,31,464,290 is 32148240.

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 31 x 464 x 290 = 3729195840

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

31 : 1, 31

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,31,464,290, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

31:31

464:2x 2x 2x 2x 29

290:2x 5x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 3729195840/(1x116)

LCM = 3729195840/116

LCM = 32148240

Thus, we can understand that the LCM of 894,31,464,290 is 32148240.

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

• LCM of 937, 62, 995, 542
• LCM of 469, 28, 456, 656
• LCM of 204, 28, 227, 781
• LCM of 476, 80, 926, 618
• LCM of 662, 19, 981, 662

1. What is the LCM of 894, 31, 464, 290?

Answer: LCM of 894, 31, 464, 290 is 32148240.

2. How to calculate the LCM of 894, 31, 464, 290?

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, 31, 464, 290.

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}.