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LCM of 795, 974, 225, 230

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 795, 974, 225, 230 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 795, 974, 225, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 795,974,225,230

Given numbers are 795,974,225,230

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

The LCM of 795,974,225,230 is 267143850.

Find LCM of 795,974,225,230 with Prime Factorization


2 795, 974, 225, 230
3 795, 487, 225, 115
5 265, 487, 75, 115
53, 487, 15, 23

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

2 x 3 x 5 x 53 x 487 x 15 x 23 = 267143850

Therefore, the lowest common multiple of 795,974,225,230 is 267143850.

LCM Formula to Find Lowest Common Multiple of 795,974,225,230

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.

795 x 974 x 225 x 230 = 40071577500

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.

795 : 1, 3, 5, 15, 53, 159, 265, 795

974 : 1, 2, 487, 974

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,974,225,230, is 1.

Now, the common factors can be found like this.

795:3x 5x 53

974:2x 487

225:3x 3x 5x 5

230:2x 5x 23

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

2x 3x 5x 5 = 150

Therefore, the value for common factors is 150.

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 = 40071577500/(1x150)

LCM = 40071577500/150

LCM = 267143850

Thus, we can understand that the LCM of 795,974,225,230 is 267143850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 795, 974, 225, 230

1. What is the LCM of 795, 974, 225, 230?

Answer: LCM of 795, 974, 225, 230 is 267143850.

2. How to calculate the LCM of 795, 974, 225, 230?

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 795, 974, 225, 230.

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}.