Given numbers are 21,49,344

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

The LCM of 21,49,344 is 50568.

Find LCM of 21,49,344 with Prime Factorization

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

7 x 3 x 7 x 344 = 50568

Therefore, the lowest common multiple of 21,49,344 is 50568.

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.

21 x 49 x 344 = 353976

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.

21 : 1, 3, 7, 21

49 : 1, 7, 49

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 21,49,344, is 1.

Now, the common factors can be found like this.

21:3x 7

49:7x 7

344:2x 2x 2x 43

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

7 = 7

Therefore, the value for common factors is 7.

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 = 353976/(1x7)

LCM = 353976/7

LCM = 50568

Thus, we can understand that the LCM of 21,49,344 is 50568.

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

• LCM of 43, 37, 150
• LCM of 32, 69, 722
• LCM of 17, 31, 734
• LCM of 99, 32, 320
• LCM of 45, 40, 455

1. What is the LCM of 21, 49, 344?

Answer: LCM of 21, 49, 344 is 50568.

2. How to calculate the LCM of 21, 49, 344?

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 21, 49, 344.

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}.