Given numbers are 114,44,278

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

The LCM of 114,44,278 is 348612.

Find LCM of 114,44,278 with Prime Factorization

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

2 x 57 x 22 x 139 = 348612

Therefore, the lowest common multiple of 114,44,278 is 348612.

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.

114 x 44 x 278 = 1394448

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

44 : 1, 2, 4, 11, 22, 44

278 : 1, 2, 139, 278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,44,278, is 2.

Now, the common factors can be found like this.

114:2x 3x 19

44:2x 2x 11

278:2x 139

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 = 1394448/(2x2)

LCM = 1394448/4

LCM = 348612

Thus, we can understand that the LCM of 114,44,278 is 348612.

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

• LCM of 445, 44, 810
• LCM of 377, 43, 198
• LCM of 770, 32, 424
• LCM of 964, 54, 223
• LCM of 547, 86, 309

1. What is the LCM of 114, 44, 278?

Answer: LCM of 114, 44, 278 is 348612.

2. How to calculate the LCM of 114, 44, 278?

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 114, 44, 278.

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}.