Given numbers are 1364,7312

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

The LCM of 1364,7312 is 2493392.

Find LCM of 1364,7312 with Prime Factorization

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

2 x 2 x 341 x 1828 = 2493392

Therefore, the lowest common multiple of 1364,7312 is 2493392.

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.

1364 x 7312 = 9973568

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.

1364 : 1, 2, 4, 11, 22, 31, 44, 62, 124, 341, 682, 1364

7312 : 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1364,7312, is 4.

Now, the common factors can be found like this.

1364:2x 2x 11x 31

7312:2x 2x 2x 2x 457

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 = 9973568/(4x1)

LCM = 9973568/4

LCM = 2493392

Thus, we can understand that the LCM of 1364,7312 is 2493392.

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

• LCM of 7682, 6720
• LCM of 5176, 7737
• LCM of 5389, 6979
• LCM of 5470, 6879
• LCM of 1727, 9337

1. What is the LCM of 1364, 7312?

Answer: LCM of 1364, 7312 is 2493392.

2. How to calculate the LCM of 1364, 7312?

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 1364, 7312.

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}.