Given numbers are 421,38,969

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

The LCM of 421,38,969 is 815898.

Find LCM of 421,38,969 with Prime Factorization

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

19 x 421 x 2 x 51 = 815898

Therefore, the lowest common multiple of 421,38,969 is 815898.

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.

421 x 38 x 969 = 15502062

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.

421 : 1, 421

38 : 1, 2, 19, 38

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,38,969, is 1.

Now, the common factors can be found like this.

421:421

38:2x 19

969:3x 17x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 15502062/(1x19)

LCM = 15502062/19

LCM = 815898

Thus, we can understand that the LCM of 421,38,969 is 815898.

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

• LCM of 651, 45, 289
• LCM of 272, 61, 174
• LCM of 374, 67, 854
• LCM of 686, 48, 892
• LCM of 192, 29, 296

1. What is the LCM of 421, 38, 969?

Answer: LCM of 421, 38, 969 is 815898.

2. How to calculate the LCM of 421, 38, 969?

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 421, 38, 969.

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}.