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LCM of 745, 338, 101, 955

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


Find the LCM of 745, 338, 101, 955 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 745, 338, 101, 955. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,338,101,955

Given numbers are 745,338,101,955

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

The LCM of 745,338,101,955 is 4857666710.

Find LCM of 745,338,101,955 with Prime Factorization


5 745, 338, 101, 955
149, 338, 101, 191

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

5 x 149 x 338 x 101 x 191 = 4857666710

Therefore, the lowest common multiple of 745,338,101,955 is 4857666710.

LCM Formula to Find Lowest Common Multiple of 745,338,101,955

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.

745 x 338 x 101 x 955 = 24288333550

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.

745 : 1, 5, 149, 745

338 : 1, 2, 13, 26, 169, 338

101 : 1, 101

955 : 1, 5, 191, 955

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,338,101,955, is 1.

Now, the common factors can be found like this.

745:5x 149

338:2x 13x 13

101:101

955:5x 191

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 = 24288333550/(1x5)

LCM = 24288333550/5

LCM = 4857666710

Thus, we can understand that the LCM of 745,338,101,955 is 4857666710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 338, 101, 955

1. What is the LCM of 745, 338, 101, 955?

Answer: LCM of 745, 338, 101, 955 is 4857666710.

2. How to calculate the LCM of 745, 338, 101, 955?

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 745, 338, 101, 955.

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}.