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LCM of 234, 617, 163, 958

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


Find the LCM of 234, 617, 163, 958 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 234, 617, 163, 958. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,617,163,958

Given numbers are 234,617,163,958

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

The LCM of 234,617,163,958 is 11272601106.

Find LCM of 234,617,163,958 with Prime Factorization


2 234, 617, 163, 958
117, 617, 163, 479

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

2 x 117 x 617 x 163 x 479 = 11272601106

Therefore, the lowest common multiple of 234,617,163,958 is 11272601106.

LCM Formula to Find Lowest Common Multiple of 234,617,163,958

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.

234 x 617 x 163 x 958 = 22545202212

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

617 : 1, 617

163 : 1, 163

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,617,163,958, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

617:617

163:163

958:2x 479

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22545202212/(1x2)

LCM = 22545202212/2

LCM = 11272601106

Thus, we can understand that the LCM of 234,617,163,958 is 11272601106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 617, 163, 958

1. What is the LCM of 234, 617, 163, 958?

Answer: LCM of 234, 617, 163, 958 is 11272601106.

2. How to calculate the LCM of 234, 617, 163, 958?

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 234, 617, 163, 958.

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}.