Given numbers are 978,83,249

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

The LCM of 978,83,249 is 81174.

Find LCM of 978,83,249 with Prime Factorization

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

3 x 83 x 326 x 1 x 1 = 81174

Therefore, the lowest common multiple of 978,83,249 is 81174.

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.

978 x 83 x 249 = 20212326

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

83 : 1, 83

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,83,249, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

83:83

249:3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 83 = 249

Therefore, the value for common factors is 249.

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 = 20212326/(1x249)

LCM = 20212326/249

LCM = 81174

Thus, we can understand that the LCM of 978,83,249 is 81174.

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

• LCM of 706, 47, 900
• LCM of 454, 21, 743
• LCM of 892, 56, 843
• LCM of 165, 19, 500
• LCM of 848, 72, 445

1. What is the LCM of 978, 83, 249?

Answer: LCM of 978, 83, 249 is 81174.

2. How to calculate the LCM of 978, 83, 249?

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 978, 83, 249.

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}.