Given numbers are 901,312,689

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

The LCM of 901,312,689 is 281112.

Find LCM of 901,312,689 with Prime Factorization

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

13 x 53 x 17 x 24 x 1 = 281112

Therefore, the lowest common multiple of 901,312,689 is 281112.

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.

901 x 312 x 689 = 193686168

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.

901 : 1, 17, 53, 901

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,312,689, is 1.

Now, the common factors can be found like this.

901:17x 53

312:2x 2x 2x 3x 13

689:13x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 53 = 689

Therefore, the value for common factors is 689.

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 = 193686168/(1x689)

LCM = 193686168/689

LCM = 281112

Thus, we can understand that the LCM of 901,312,689 is 281112.

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

• LCM of 231, 134, 946
• LCM of 593, 109, 200
• LCM of 256, 899, 914
• LCM of 998, 442, 812
• LCM of 573, 378, 733

1. What is the LCM of 901, 312, 689?

Answer: LCM of 901, 312, 689 is 281112.

2. How to calculate the LCM of 901, 312, 689?

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 901, 312, 689.

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}.