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LCM of 759, 768, 960, 153

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


Find the LCM of 759, 768, 960, 153 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 759, 768, 960, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 759,768,960,153

Given numbers are 759,768,960,153

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

The LCM of 759,768,960,153 is 49547520.

Find LCM of 759,768,960,153 with Prime Factorization


2 759, 768, 960, 153
2 759, 384, 480, 153
2 759, 192, 240, 153
2 759, 96, 120, 153
2 759, 48, 60, 153
2 759, 24, 30, 153
3 759, 12, 15, 153
253, 4, 5, 51

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 253 x 4 x 5 x 51 = 49547520

Therefore, the lowest common multiple of 759,768,960,153 is 49547520.

LCM Formula to Find Lowest Common Multiple of 759,768,960,153

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.

759 x 768 x 960 x 153 = 85618114560

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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

153 : 1, 3, 9, 17, 51, 153

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,768,960,153, is 3.

Now, the common factors can be found like this.

759:3x 11x 23

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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

153:3x 3x 17

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

2x 2x 2x 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 85618114560/(3x576)

LCM = 85618114560/1728

LCM = 49547520

Thus, we can understand that the LCM of 759,768,960,153 is 49547520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 759, 768, 960, 153

1. What is the LCM of 759, 768, 960, 153?

Answer: LCM of 759, 768, 960, 153 is 49547520.

2. How to calculate the LCM of 759, 768, 960, 153?

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 759, 768, 960, 153.

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}.