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LCM of 314, 201, 855, 135

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


Find the LCM of 314, 201, 855, 135 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 314, 201, 855, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,201,855,135

Given numbers are 314,201,855,135

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

The LCM of 314,201,855,135 is 53962470.

Find LCM of 314,201,855,135 with Prime Factorization


3 314, 201, 855, 135
3 314, 67, 285, 45
5 314, 67, 95, 15
314, 67, 19, 3

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

3 x 3 x 5 x 314 x 67 x 19 x 3 = 53962470

Therefore, the lowest common multiple of 314,201,855,135 is 53962470.

LCM Formula to Find Lowest Common Multiple of 314,201,855,135

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.

314 x 201 x 855 x 135 = 7284933450

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.

314 : 1, 2, 157, 314

201 : 1, 3, 67, 201

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,201,855,135, is 1.

Now, the common factors can be found like this.

314:2x 157

201:3x 67

855:3x 3x 5x 19

135:3x 3x 3x 5

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 3x 5 = 135

Therefore, the value for common factors is 135.

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 = 7284933450/(1x135)

LCM = 7284933450/135

LCM = 53962470

Thus, we can understand that the LCM of 314,201,855,135 is 53962470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 201, 855, 135

1. What is the LCM of 314, 201, 855, 135?

Answer: LCM of 314, 201, 855, 135 is 53962470.

2. How to calculate the LCM of 314, 201, 855, 135?

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 314, 201, 855, 135.

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}.