Given numbers are 438,219,825

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

The LCM of 438,219,825 is 120450.

Find LCM of 438,219,825 with Prime Factorization

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

3 x 73 x 2 x 1 x 275 = 120450

Therefore, the lowest common multiple of 438,219,825 is 120450.

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.

438 x 219 x 825 = 79135650

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

219 : 1, 3, 73, 219

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,219,825, is 3.

Now, the common factors can be found like this.

438:2x 3x 73

219:3x 73

825:3x 5x 5x 11

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

3x 73 = 219

Therefore, the value for common factors is 219.

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 = 79135650/(3x219)

LCM = 79135650/657

LCM = 120450

Thus, we can understand that the LCM of 438,219,825 is 120450.

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

• LCM of 301, 567, 607
• LCM of 186, 240, 300
• LCM of 671, 707, 232
• LCM of 820, 496, 911
• LCM of 865, 238, 155

1. What is the LCM of 438, 219, 825?

Answer: LCM of 438, 219, 825 is 120450.

2. How to calculate the LCM of 438, 219, 825?

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 438, 219, 825.

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}.