Given numbers are 3116,7114

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

The LCM of 3116,7114 is 11083612.

Find LCM of 3116,7114 with Prime Factorization

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

2 x 1558 x 3557 = 11083612

Therefore, the lowest common multiple of 3116,7114 is 11083612.

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.

3116 x 7114 = 22167224

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.

3116 : 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116

7114 : 1, 2, 3557, 7114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3116,7114, is 2.

Now, the common factors can be found like this.

3116:2x 2x 19x 41

7114:2x 3557

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 = 22167224/(2x1)

LCM = 22167224/2

LCM = 11083612

Thus, we can understand that the LCM of 3116,7114 is 11083612.

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

• LCM of 5843, 6043
• LCM of 4301, 7006
• LCM of 6089, 3177
• LCM of 3532, 9496
• LCM of 1271, 2257

1. What is the LCM of 3116, 7114?

Answer: LCM of 3116, 7114 is 11083612.

2. How to calculate the LCM of 3116, 7114?

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 3116, 7114.

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}.