Given numbers are 753,24,214

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

The LCM of 753,24,214 is 644568.

Find LCM of 753,24,214 with Prime Factorization

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

2 x 3 x 251 x 4 x 107 = 644568

Therefore, the lowest common multiple of 753,24,214 is 644568.

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.

753 x 24 x 214 = 3867408

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.

753 : 1, 3, 251, 753

24 : 1, 2, 3, 4, 6, 8, 12, 24

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,24,214, is 1.

Now, the common factors can be found like this.

753:3x 251

24:2x 2x 2x 3

214:2x 107

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3867408/(1x6)

LCM = 3867408/6

LCM = 644568

Thus, we can understand that the LCM of 753,24,214 is 644568.

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

• LCM of 275, 66, 280
• LCM of 398, 56, 432
• LCM of 754, 84, 544
• LCM of 738, 58, 114
• LCM of 207, 92, 430

1. What is the LCM of 753, 24, 214?

Answer: LCM of 753, 24, 214 is 644568.

2. How to calculate the LCM of 753, 24, 214?

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 753, 24, 214.

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}.