Given numbers are 7490,1414

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

The LCM of 7490,1414 is 756490.

Find LCM of 7490,1414 with Prime Factorization

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

2 x 7 x 535 x 101 = 756490

Therefore, the lowest common multiple of 7490,1414 is 756490.

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.

7490 x 1414 = 10590860

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.

7490 : 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490

1414 : 1, 2, 7, 14, 101, 202, 707, 1414

14 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7490,1414, is 14.

Now, the common factors can be found like this.

7490:2x 5x 7x 107

1414:2x 7x 101

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 = 10590860/(14x1)

LCM = 10590860/14

LCM = 756490

Thus, we can understand that the LCM of 7490,1414 is 756490.

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

• LCM of 4727, 9455
• LCM of 3924, 9359
• LCM of 2263, 4703
• LCM of 6190, 4539
• LCM of 3294, 7060

1. What is the LCM of 7490, 1414?

Answer: LCM of 7490, 1414 is 756490.

2. How to calculate the LCM of 7490, 1414?

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 7490, 1414.

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}.