Given numbers are 5764,5414

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

The LCM of 5764,5414 is 15603148.

Find LCM of 5764,5414 with Prime Factorization

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

2 x 2882 x 2707 = 15603148

Therefore, the lowest common multiple of 5764,5414 is 15603148.

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.

5764 x 5414 = 31206296

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.

5764 : 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764

5414 : 1, 2, 2707, 5414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5764,5414, is 2.

Now, the common factors can be found like this.

5764:2x 2x 11x 131

5414:2x 2707

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 = 31206296/(2x1)

LCM = 31206296/2

LCM = 15603148

Thus, we can understand that the LCM of 5764,5414 is 15603148.

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

• LCM of 7285, 1506
• LCM of 3723, 7951
• LCM of 3018, 2485
• LCM of 8284, 9579
• LCM of 7034, 5650

1. What is the LCM of 5764, 5414?

Answer: LCM of 5764, 5414 is 15603148.

2. How to calculate the LCM of 5764, 5414?

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 5764, 5414.

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}.