Given numbers are 3414,1491

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

The LCM of 3414,1491 is 1696758.

Find LCM of 3414,1491 with Prime Factorization

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

3 x 1138 x 497 = 1696758

Therefore, the lowest common multiple of 3414,1491 is 1696758.

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.

3414 x 1491 = 5090274

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.

3414 : 1, 2, 3, 6, 569, 1138, 1707, 3414

1491 : 1, 3, 7, 21, 71, 213, 497, 1491

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3414,1491, is 3.

Now, the common factors can be found like this.

3414:2x 3x 569

1491:3x 7x 71

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 = 5090274/(3x1)

LCM = 5090274/3

LCM = 1696758

Thus, we can understand that the LCM of 3414,1491 is 1696758.

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

• LCM of 8625, 6060
• LCM of 3005, 3239
• LCM of 9785, 3199
• LCM of 9172, 5628
• LCM of 8454, 9842

1. What is the LCM of 3414, 1491?

Answer: LCM of 3414, 1491 is 1696758.

2. How to calculate the LCM of 3414, 1491?

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 3414, 1491.

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}.