Given numbers are 5294,9164

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

The LCM of 5294,9164 is 24257108.

Find LCM of 5294,9164 with Prime Factorization

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

2 x 2647 x 4582 = 24257108

Therefore, the lowest common multiple of 5294,9164 is 24257108.

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.

5294 x 9164 = 48514216

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.

5294 : 1, 2, 2647, 5294

9164 : 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5294,9164, is 2.

Now, the common factors can be found like this.

5294:2x 2647

9164:2x 2x 29x 79

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 = 48514216/(2x1)

LCM = 48514216/2

LCM = 24257108

Thus, we can understand that the LCM of 5294,9164 is 24257108.

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

• LCM of 5650, 3235
• LCM of 8859, 1229
• LCM of 8754, 7178
• LCM of 5580, 2960
• LCM of 7131, 8545

1. What is the LCM of 5294, 9164?

Answer: LCM of 5294, 9164 is 24257108.

2. How to calculate the LCM of 5294, 9164?

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 5294, 9164.

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}.