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LCM of 994, 960, 710, 785

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


Find the LCM of 994, 960, 710, 785 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 994, 960, 710, 785. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,960,710,785

Given numbers are 994,960,710,785

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

The LCM of 994,960,710,785 is 74907840.

Find LCM of 994,960,710,785 with Prime Factorization


2 994, 960, 710, 785
5 497, 480, 355, 785
71 497, 96, 71, 157
7, 96, 1, 157

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

2 x 5 x 71 x 7 x 96 x 1 x 157 = 74907840

Therefore, the lowest common multiple of 994,960,710,785 is 74907840.

LCM Formula to Find Lowest Common Multiple of 994,960,710,785

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.

994 x 960 x 710 x 785 = 531845664000

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

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

710 : 1, 2, 5, 10, 71, 142, 355, 710

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,960,710,785, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

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

710:2x 5x 71

785:5x 157

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 5x 5x 71 = 7100

Therefore, the value for common factors is 7100.

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 = 531845664000/(1x7100)

LCM = 531845664000/7100

LCM = 74907840

Thus, we can understand that the LCM of 994,960,710,785 is 74907840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 960, 710, 785

1. What is the LCM of 994, 960, 710, 785?

Answer: LCM of 994, 960, 710, 785 is 74907840.

2. How to calculate the LCM of 994, 960, 710, 785?

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 994, 960, 710, 785.

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}.