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LCM of 310, 824, 960, 715

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


Find the LCM of 310, 824, 960, 715 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 310, 824, 960, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,824,960,715

Given numbers are 310,824,960,715

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

The LCM of 310,824,960,715 is 438335040.

Find LCM of 310,824,960,715 with Prime Factorization


2 310, 824, 960, 715
2 155, 412, 480, 715
2 155, 206, 240, 715
5 155, 103, 120, 715
31, 103, 24, 143

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

2 x 2 x 2 x 5 x 31 x 103 x 24 x 143 = 438335040

Therefore, the lowest common multiple of 310,824,960,715 is 438335040.

LCM Formula to Find Lowest Common Multiple of 310,824,960,715

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.

310 x 824 x 960 x 715 = 175334016000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,824,960,715, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

824:2x 2x 2x 103

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

715:5x 11x 13

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 175334016000/(1x400)

LCM = 175334016000/400

LCM = 438335040

Thus, we can understand that the LCM of 310,824,960,715 is 438335040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 824, 960, 715

1. What is the LCM of 310, 824, 960, 715?

Answer: LCM of 310, 824, 960, 715 is 438335040.

2. How to calculate the LCM of 310, 824, 960, 715?

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 310, 824, 960, 715.

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}.