Given numbers are 48,38,278

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

The LCM of 48,38,278 is 126768.

Find LCM of 48,38,278 with Prime Factorization

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

2 x 24 x 19 x 139 = 126768

Therefore, the lowest common multiple of 48,38,278 is 126768.

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.

48 x 38 x 278 = 507072

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.

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

38 : 1, 2, 19, 38

278 : 1, 2, 139, 278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 48,38,278, is 2.

Now, the common factors can be found like this.

48:2x 2x 2x 2x 3

38:2x 19

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 = 507072/(2x2)

LCM = 507072/4

LCM = 126768

Thus, we can understand that the LCM of 48,38,278 is 126768.

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

• LCM of 24, 28, 541
• LCM of 98, 61, 526
• LCM of 27, 20, 336
• LCM of 30, 43, 365
• LCM of 65, 48, 862

1. What is the LCM of 48, 38, 278?

Answer: LCM of 48, 38, 278 is 126768.

2. How to calculate the LCM of 48, 38, 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 48, 38, 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}.