LCM of 735, 209, 144, 891, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 209, 144, 891, 766 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 735, 209, 144, 891, 766. So, keep reading to learn more.
Given numbers are 735,209,144,891,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,209,144,891,766 is 25416523440.
Find LCM of 735,209,144,891,766 with Prime Factorization
| 2 | 735, 209, 144, 891, 766 |
| 3 | 735, 209, 72, 891, 383 |
| 3 | 245, 209, 24, 297, 383 |
| 11 | 245, 209, 8, 99, 383 |
| 245, 19, 8, 9, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 245 x 19 x 8 x 9 x 383 = 25416523440
Therefore, the lowest common multiple of 735,209,144,891,766 is 25416523440.
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.
735 x 209 x 144 x 891 x 766 = 15097414923360
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
209 : 1, 11, 19, 209
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,209,144,891,766, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
209:11x 19
144:2x 2x 2x 2x 3x 3
891:3x 3x 3x 3x 11
766:2x 383
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 3x 11 = 594
Therefore, the value for common factors is 594.
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 = 15097414923360/(1x594)
LCM = 15097414923360/594
LCM = 25416523440
Thus, we can understand that the LCM of 735,209,144,891,766 is 25416523440.
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FAQs on LCM of 735, 209, 144, 891, 766
1. What is the LCM of 735, 209, 144, 891, 766?
Answer: LCM of 735, 209, 144, 891, 766 is 25416523440.
2. How to calculate the LCM of 735, 209, 144, 891, 766?
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 735, 209, 144, 891, 766.
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}.