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LCM of 817, 821, 727, 727, 688

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


Find the LCM of 817, 821, 727, 727, 688 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 817, 821, 727, 727, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,821,727,727,688

Given numbers are 817,821,727,727,688

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

The LCM of 817,821,727,727,688 is 7802245424.

Find LCM of 817,821,727,727,688 with Prime Factorization


43 817, 821, 727, 727, 688
727 19, 821, 727, 727, 16
19, 821, 1, 1, 16

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

43 x 727 x 19 x 821 x 1 x 1 x 16 = 7802245424

Therefore, the lowest common multiple of 817,821,727,727,688 is 7802245424.

LCM Formula to Find Lowest Common Multiple of 817,821,727,727,688

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.

817 x 821 x 727 x 727 x 688 = 243905994199664

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.

817 : 1, 19, 43, 817

821 : 1, 821

727 : 1, 727

727 : 1, 727

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,821,727,727,688, is 1.

Now, the common factors can be found like this.

817:19x 43

821:821

727:727

727:727

688:2x 2x 2x 2x 43

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

43x 727 = 31261

Therefore, the value for common factors is 31261.

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 = 243905994199664/(1x31261)

LCM = 243905994199664/31261

LCM = 7802245424

Thus, we can understand that the LCM of 817,821,727,727,688 is 7802245424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 821, 727, 727, 688

1. What is the LCM of 817, 821, 727, 727, 688?

Answer: LCM of 817, 821, 727, 727, 688 is 7802245424.

2. How to calculate the LCM of 817, 821, 727, 727, 688?

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 817, 821, 727, 727, 688.

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}.