Given numbers are 274,3678

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

The LCM of 274,3678 is 503886.

Find LCM of 274,3678 with Prime Factorization

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

2 x 137 x 1839 = 503886

Therefore, the lowest common multiple of 274,3678 is 503886.

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.

274 x 3678 = 1007772

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.

274 : 1, 2, 137, 274

3678 : 1, 2, 3, 6, 613, 1226, 1839, 3678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,3678, is 2.

Now, the common factors can be found like this.

274:2x 137

3678:2x 3x 613

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

= 1

Therefore, the value for common factors is 1.

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 = 1007772/(2x1)

LCM = 1007772/2

LCM = 503886

Thus, we can understand that the LCM of 274,3678 is 503886.

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

• LCM of 808, 5516
• LCM of 466, 4090
• LCM of 356, 4300
• LCM of 308, 2545
• LCM of 574, 2921

1. What is the LCM of 274, 3678?

Answer: LCM of 274, 3678 is 503886.

2. How to calculate the LCM of 274, 3678?

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 274, 3678.

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}.