Given numbers are 278,23,900

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

The LCM of 278,23,900 is 2877300.

Find LCM of 278,23,900 with Prime Factorization

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

2 x 139 x 23 x 450 = 2877300

Therefore, the lowest common multiple of 278,23,900 is 2877300.

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.

278 x 23 x 900 = 5754600

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.

278 : 1, 2, 139, 278

23 : 1, 23

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,23,900, is 1.

Now, the common factors can be found like this.

278:2x 139

23:23

900:2x 2x 3x 3x 5x 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 = 5754600/(1x2)

LCM = 5754600/2

LCM = 2877300

Thus, we can understand that the LCM of 278,23,900 is 2877300.

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

• LCM of 733, 32, 268
• LCM of 472, 33, 259
• LCM of 252, 88, 269
• LCM of 322, 70, 322
• LCM of 763, 89, 898

1. What is the LCM of 278, 23, 900?

Answer: LCM of 278, 23, 900 is 2877300.

2. How to calculate the LCM of 278, 23, 900?

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 278, 23, 900.

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}.