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LCM of 345, 179, 163, 950

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


Find the LCM of 345, 179, 163, 950 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 345, 179, 163, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,179,163,950

Given numbers are 345,179,163,950

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

The LCM of 345,179,163,950 is 1912552350.

Find LCM of 345,179,163,950 with Prime Factorization


5 345, 179, 163, 950
69, 179, 163, 190

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

5 x 69 x 179 x 163 x 190 = 1912552350

Therefore, the lowest common multiple of 345,179,163,950 is 1912552350.

LCM Formula to Find Lowest Common Multiple of 345,179,163,950

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.

345 x 179 x 163 x 950 = 9562761750

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

179 : 1, 179

163 : 1, 163

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,179,163,950, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

179:179

163:163

950:2x 5x 5x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 9562761750/(1x5)

LCM = 9562761750/5

LCM = 1912552350

Thus, we can understand that the LCM of 345,179,163,950 is 1912552350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 179, 163, 950

1. What is the LCM of 345, 179, 163, 950?

Answer: LCM of 345, 179, 163, 950 is 1912552350.

2. How to calculate the LCM of 345, 179, 163, 950?

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 345, 179, 163, 950.

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}.