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LCM of 135, 627, 133, 293

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


Find the LCM of 135, 627, 133, 293 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 135, 627, 133, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 135,627,133,293

Given numbers are 135,627,133,293

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

The LCM of 135,627,133,293 is 57868965.

Find LCM of 135,627,133,293 with Prime Factorization


3 135, 627, 133, 293
19 45, 209, 133, 293
45, 11, 7, 293

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

3 x 19 x 45 x 11 x 7 x 293 = 57868965

Therefore, the lowest common multiple of 135,627,133,293 is 57868965.

LCM Formula to Find Lowest Common Multiple of 135,627,133,293

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.

135 x 627 x 133 x 293 = 3298531005

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

627 : 1, 3, 11, 19, 33, 57, 209, 627

133 : 1, 7, 19, 133

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,627,133,293, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

627:3x 11x 19

133:7x 19

293:293

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 3298531005/(1x57)

LCM = 3298531005/57

LCM = 57868965

Thus, we can understand that the LCM of 135,627,133,293 is 57868965.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 135, 627, 133, 293

1. What is the LCM of 135, 627, 133, 293?

Answer: LCM of 135, 627, 133, 293 is 57868965.

2. How to calculate the LCM of 135, 627, 133, 293?

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 135, 627, 133, 293.

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}.