Given numbers are 723,214,334

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

The LCM of 723,214,334 is 25838574.

Find LCM of 723,214,334 with Prime Factorization

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

2 x 723 x 107 x 167 = 25838574

Therefore, the lowest common multiple of 723,214,334 is 25838574.

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.

723 x 214 x 334 = 51677148

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.

723 : 1, 3, 241, 723

214 : 1, 2, 107, 214

334 : 1, 2, 167, 334

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,214,334, is 1.

Now, the common factors can be found like this.

723:3x 241

214:2x 107

334:2x 167

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

2 = 2

Therefore, the value for common factors is 2.

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 = 51677148/(1x2)

LCM = 51677148/2

LCM = 25838574

Thus, we can understand that the LCM of 723,214,334 is 25838574.

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

• LCM of 336, 985, 953
• LCM of 650, 857, 559
• LCM of 503, 356, 150
• LCM of 309, 338, 678
• LCM of 244, 450, 689

1. What is the LCM of 723, 214, 334?

Answer: LCM of 723, 214, 334 is 25838574.

2. How to calculate the LCM of 723, 214, 334?

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 723, 214, 334.

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}.