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LCM of 701, 816, 961, 865, 745

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


Find the LCM of 701, 816, 961, 865, 745 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 701, 816, 961, 865, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,816,961,865,745

Given numbers are 701,816,961,865,745

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

The LCM of 701,816,961,865,745 is 70849035155760.

Find LCM of 701,816,961,865,745 with Prime Factorization


5 701, 816, 961, 865, 745
701, 816, 961, 173, 149

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

5 x 701 x 816 x 961 x 173 x 149 = 70849035155760

Therefore, the lowest common multiple of 701,816,961,865,745 is 70849035155760.

LCM Formula to Find Lowest Common Multiple of 701,816,961,865,745

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.

701 x 816 x 961 x 865 x 745 = 354245175778800

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.

701 : 1, 701

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

961 : 1, 31, 961

865 : 1, 5, 173, 865

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,816,961,865,745, is 1.

Now, the common factors can be found like this.

701:701

816:2x 2x 2x 2x 3x 17

961:31x 31

865:5x 173

745:5x 149

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

5 = 5

Therefore, the value for common factors is 5.

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 = 354245175778800/(1x5)

LCM = 354245175778800/5

LCM = 70849035155760

Thus, we can understand that the LCM of 701,816,961,865,745 is 70849035155760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 816, 961, 865, 745

1. What is the LCM of 701, 816, 961, 865, 745?

Answer: LCM of 701, 816, 961, 865, 745 is 70849035155760.

2. How to calculate the LCM of 701, 816, 961, 865, 745?

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 701, 816, 961, 865, 745.

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}.