Given numbers are 693,21,661

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

The LCM of 693,21,661 is 458073.

Find LCM of 693,21,661 with Prime Factorization

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

3 x 7 x 33 x 1 x 661 = 458073

Therefore, the lowest common multiple of 693,21,661 is 458073.

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.

693 x 21 x 661 = 9619533

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

21 : 1, 3, 7, 21

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,21,661, is 1.

Now, the common factors can be found like this.

693:3x 3x 7x 11

21:3x 7

661:661

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

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 9619533/(1x21)

LCM = 9619533/21

LCM = 458073

Thus, we can understand that the LCM of 693,21,661 is 458073.

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

• LCM of 640, 84, 838
• LCM of 430, 64, 784
• LCM of 534, 36, 780
• LCM of 498, 71, 620
• LCM of 327, 43, 448

1. What is the LCM of 693, 21, 661?

Answer: LCM of 693, 21, 661 is 458073.

2. How to calculate the LCM of 693, 21, 661?

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 693, 21, 661.

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}.