Given numbers are 238,778,540

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

The LCM of 238,778,540 is 24997140.

Find LCM of 238,778,540 with Prime Factorization

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

2 x 119 x 389 x 270 = 24997140

Therefore, the lowest common multiple of 238,778,540 is 24997140.

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.

238 x 778 x 540 = 99988560

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

778 : 1, 2, 389, 778

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,778,540, is 2.

Now, the common factors can be found like this.

238:2x 7x 17

778:2x 389

540:2x 2x 3x 3x 3x 5

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 = 99988560/(2x2)

LCM = 99988560/4

LCM = 24997140

Thus, we can understand that the LCM of 238,778,540 is 24997140.

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

• LCM of 131, 480, 825
• LCM of 310, 890, 511
• LCM of 844, 446, 829
• LCM of 433, 522, 275
• LCM of 516, 905, 295

1. What is the LCM of 238, 778, 540?

Answer: LCM of 238, 778, 540 is 24997140.

2. How to calculate the LCM of 238, 778, 540?

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 238, 778, 540.

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}.