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LCM of 693, 675, 235, 119

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


Find the LCM of 693, 675, 235, 119 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 693, 675, 235, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 693,675,235,119

Given numbers are 693,675,235,119

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

The LCM of 693,675,235,119 is 41528025.

Find LCM of 693,675,235,119 with Prime Factorization


3 693, 675, 235, 119
3 231, 225, 235, 119
5 77, 75, 235, 119
7 77, 15, 47, 119
11, 15, 47, 17

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

3 x 3 x 5 x 7 x 11 x 15 x 47 x 17 = 41528025

Therefore, the lowest common multiple of 693,675,235,119 is 41528025.

LCM Formula to Find Lowest Common Multiple of 693,675,235,119

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.

693 x 675 x 235 x 119 = 13081327875

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

235 : 1, 5, 47, 235

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,675,235,119, is 1.

Now, the common factors can be found like this.

693:3x 3x 7x 11

675:3x 3x 3x 5x 5

235:5x 47

119:7x 17

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

3x 3x 5x 7 = 315

Therefore, the value for common factors is 315.

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 = 13081327875/(1x315)

LCM = 13081327875/315

LCM = 41528025

Thus, we can understand that the LCM of 693,675,235,119 is 41528025.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 693, 675, 235, 119

1. What is the LCM of 693, 675, 235, 119?

Answer: LCM of 693, 675, 235, 119 is 41528025.

2. How to calculate the LCM of 693, 675, 235, 119?

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 693, 675, 235, 119.

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}.