Given numbers are 969,19,421

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

The LCM of 969,19,421 is 407949.

Find LCM of 969,19,421 with Prime Factorization

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

19 x 51 x 1 x 421 = 407949

Therefore, the lowest common multiple of 969,19,421 is 407949.

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.

969 x 19 x 421 = 7751031

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.

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

19 : 1, 19

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,19,421, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

19:19

421:421

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 = 7751031/(1x19)

LCM = 7751031/19

LCM = 407949

Thus, we can understand that the LCM of 969,19,421 is 407949.

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

• LCM of 400, 74, 599
• LCM of 586, 94, 701
• LCM of 606, 51, 365
• LCM of 744, 54, 221
• LCM of 456, 25, 801

1. What is the LCM of 969, 19, 421?

Answer: LCM of 969, 19, 421 is 407949.

2. How to calculate the LCM of 969, 19, 421?

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 969, 19, 421.

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}.