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LCM of 717, 610, 841, 696

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


Find the LCM of 717, 610, 841, 696 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 717, 610, 841, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 717,610,841,696

Given numbers are 717,610,841,696

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

The LCM of 717,610,841,696 is 1471312680.

Find LCM of 717,610,841,696 with Prime Factorization


2 717, 610, 841, 696
3 717, 305, 841, 348
29 239, 305, 841, 116
239, 305, 29, 4

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

2 x 3 x 29 x 239 x 305 x 29 x 4 = 1471312680

Therefore, the lowest common multiple of 717,610,841,696 is 1471312680.

LCM Formula to Find Lowest Common Multiple of 717,610,841,696

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.

717 x 610 x 841 x 696 = 256008406320

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.

717 : 1, 3, 239, 717

610 : 1, 2, 5, 10, 61, 122, 305, 610

841 : 1, 29, 841

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,610,841,696, is 1.

Now, the common factors can be found like this.

717:3x 239

610:2x 5x 61

841:29x 29

696:2x 2x 2x 3x 29

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

2x 3x 29 = 174

Therefore, the value for common factors is 174.

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 = 256008406320/(1x174)

LCM = 256008406320/174

LCM = 1471312680

Thus, we can understand that the LCM of 717,610,841,696 is 1471312680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 717, 610, 841, 696

1. What is the LCM of 717, 610, 841, 696?

Answer: LCM of 717, 610, 841, 696 is 1471312680.

2. How to calculate the LCM of 717, 610, 841, 696?

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 717, 610, 841, 696.

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}.