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LCM of 133, 301, 769, 595

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


Find the LCM of 133, 301, 769, 595 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 133, 301, 769, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 133,301,769,595

Given numbers are 133,301,769,595

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

The LCM of 133,301,769,595 is 373822435.

Find LCM of 133,301,769,595 with Prime Factorization


7 133, 301, 769, 595
19, 43, 769, 85

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

7 x 19 x 43 x 769 x 85 = 373822435

Therefore, the lowest common multiple of 133,301,769,595 is 373822435.

LCM Formula to Find Lowest Common Multiple of 133,301,769,595

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.

133 x 301 x 769 x 595 = 18317299315

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.

133 : 1, 7, 19, 133

301 : 1, 7, 43, 301

769 : 1, 769

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,301,769,595, is 1.

Now, the common factors can be found like this.

133:7x 19

301:7x 43

769:769

595:5x 7x 17

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 18317299315/(1x49)

LCM = 18317299315/49

LCM = 373822435

Thus, we can understand that the LCM of 133,301,769,595 is 373822435.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 133, 301, 769, 595

1. What is the LCM of 133, 301, 769, 595?

Answer: LCM of 133, 301, 769, 595 is 373822435.

2. How to calculate the LCM of 133, 301, 769, 595?

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 133, 301, 769, 595.

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}.