Given numbers are 75,40,242

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

The LCM of 75,40,242 is 72600.

Find LCM of 75,40,242 with Prime Factorization

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

2 x 5 x 15 x 4 x 121 = 72600

Therefore, the lowest common multiple of 75,40,242 is 72600.

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.

75 x 40 x 242 = 726000

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.

75 : 1, 3, 5, 15, 25, 75

40 : 1, 2, 4, 5, 8, 10, 20, 40

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 75,40,242, is 1.

Now, the common factors can be found like this.

75:3x 5x 5

40:2x 2x 2x 5

242:2x 11x 11

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 726000/(1x10)

LCM = 726000/10

LCM = 72600

Thus, we can understand that the LCM of 75,40,242 is 72600.

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

• LCM of 27, 69, 997
• LCM of 76, 72, 152
• LCM of 75, 86, 980
• LCM of 25, 62, 413
• LCM of 98, 12, 762

1. What is the LCM of 75, 40, 242?

Answer: LCM of 75, 40, 242 is 72600.

2. How to calculate the LCM of 75, 40, 242?

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 75, 40, 242.

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}.