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LCM of 403, 163, 960, 135

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


Find the LCM of 403, 163, 960, 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 403, 163, 960, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 403,163,960,135

Given numbers are 403,163,960,135

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

The LCM of 403,163,960,135 is 567552960.

Find LCM of 403,163,960,135 with Prime Factorization


3 403, 163, 960, 135
5 403, 163, 320, 45
403, 163, 64, 9

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

3 x 5 x 403 x 163 x 64 x 9 = 567552960

Therefore, the lowest common multiple of 403,163,960,135 is 567552960.

LCM Formula to Find Lowest Common Multiple of 403,163,960,135

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.

403 x 163 x 960 x 135 = 8513294400

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.

403 : 1, 13, 31, 403

163 : 1, 163

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 403,163,960,135, is 1.

Now, the common factors can be found like this.

403:13x 31

163:163

960:2x 2x 2x 2x 2x 2x 3x 5

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 5 = 15

Therefore, the value for common factors is 15.

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 = 8513294400/(1x15)

LCM = 8513294400/15

LCM = 567552960

Thus, we can understand that the LCM of 403,163,960,135 is 567552960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 403, 163, 960, 135

1. What is the LCM of 403, 163, 960, 135?

Answer: LCM of 403, 163, 960, 135 is 567552960.

2. How to calculate the LCM of 403, 163, 960, 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 403, 163, 960, 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}.