LCM of 822, 759, 921, 727, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 759, 921, 727, 110 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 822, 759, 921, 727, 110. So, keep reading to learn more.
Given numbers are 822,759,921,727,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,759,921,727,110 is 232078617870.
Find LCM of 822,759,921,727,110 with Prime Factorization
| 2 | 822, 759, 921, 727, 110 |
| 3 | 411, 759, 921, 727, 55 |
| 11 | 137, 253, 307, 727, 55 |
| 137, 23, 307, 727, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 137 x 23 x 307 x 727 x 5 = 232078617870
Therefore, the lowest common multiple of 822,759,921,727,110 is 232078617870.
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.
822 x 759 x 921 x 727 x 110 = 45951566338260
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
759 : 1, 3, 11, 23, 33, 69, 253, 759
921 : 1, 3, 307, 921
727 : 1, 727
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,759,921,727,110, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
759:3x 11x 23
921:3x 307
727:727
110:2x 5x 11
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 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 45951566338260/(1x198)
LCM = 45951566338260/198
LCM = 232078617870
Thus, we can understand that the LCM of 822,759,921,727,110 is 232078617870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 759, 921, 727, 110
1. What is the LCM of 822, 759, 921, 727, 110?
Answer: LCM of 822, 759, 921, 727, 110 is 232078617870.
2. How to calculate the LCM of 822, 759, 921, 727, 110?
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 822, 759, 921, 727, 110.
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}.