LCM of 551, 703, 723, 209, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 703, 723, 209, 754 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 551, 703, 723, 209, 754. So, keep reading to learn more.
Given numbers are 551,703,723,209,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,703,723,209,754 is 4215583086.
Find LCM of 551,703,723,209,754 with Prime Factorization
| 19 | 551, 703, 723, 209, 754 |
| 29 | 29, 37, 723, 11, 754 |
| 1, 37, 723, 11, 26 |
Multiply the prime numbers at the bottom and the left side.
19 x 29 x 1 x 37 x 723 x 11 x 26 = 4215583086
Therefore, the lowest common multiple of 551,703,723,209,754 is 4215583086.
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.
551 x 703 x 723 x 209 x 754 = 44132939327334
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.
551 : 1, 19, 29, 551
703 : 1, 19, 37, 703
723 : 1, 3, 241, 723
209 : 1, 11, 19, 209
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,703,723,209,754, is 1.
Now, the common factors can be found like this.
551:19x 29
703:19x 37
723:3x 241
209:11x 19
754:2x 13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 19x 29 = 10469
Therefore, the value for common factors is 10469.
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 = 44132939327334/(1x10469)
LCM = 44132939327334/10469
LCM = 4215583086
Thus, we can understand that the LCM of 551,703,723,209,754 is 4215583086.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 551, 703, 723, 209, 754
1. What is the LCM of 551, 703, 723, 209, 754?
Answer: LCM of 551, 703, 723, 209, 754 is 4215583086.
2. How to calculate the LCM of 551, 703, 723, 209, 754?
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 551, 703, 723, 209, 754.
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}.