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LCM of 142, 503, 960, 794

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


Find the LCM of 142, 503, 960, 794 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 142, 503, 960, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 142,503,960,794

Given numbers are 142,503,960,794

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

The LCM of 142,503,960,794 is 13610938560.

Find LCM of 142,503,960,794 with Prime Factorization


2 142, 503, 960, 794
71, 503, 480, 397

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

2 x 71 x 503 x 480 x 397 = 13610938560

Therefore, the lowest common multiple of 142,503,960,794 is 13610938560.

LCM Formula to Find Lowest Common Multiple of 142,503,960,794

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.

142 x 503 x 960 x 794 = 54443754240

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.

142 : 1, 2, 71, 142

503 : 1, 503

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

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,503,960,794, is 1.

Now, the common factors can be found like this.

142:2x 71

503:503

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

794:2x 397

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 54443754240/(1x4)

LCM = 54443754240/4

LCM = 13610938560

Thus, we can understand that the LCM of 142,503,960,794 is 13610938560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 142, 503, 960, 794

1. What is the LCM of 142, 503, 960, 794?

Answer: LCM of 142, 503, 960, 794 is 13610938560.

2. How to calculate the LCM of 142, 503, 960, 794?

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 142, 503, 960, 794.

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}.