LCM of 699, 735, 551, 819, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 735, 551, 819, 875 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 699, 735, 551, 819, 875. So, keep reading to learn more.
Given numbers are 699,735,551,819,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,735,551,819,875 is 92002467375.
Find LCM of 699,735,551,819,875 with Prime Factorization
| 3 | 699, 735, 551, 819, 875 |
| 5 | 233, 245, 551, 273, 875 |
| 7 | 233, 49, 551, 273, 175 |
| 233, 7, 551, 39, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 233 x 7 x 551 x 39 x 25 = 92002467375
Therefore, the lowest common multiple of 699,735,551,819,875 is 92002467375.
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.
699 x 735 x 551 x 819 x 875 = 202865440561875
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.
699 : 1, 3, 233, 699
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
551 : 1, 19, 29, 551
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,735,551,819,875, is 1.
Now, the common factors can be found like this.
699:3x 233
735:3x 5x 7x 7
551:19x 29
819:3x 3x 7x 13
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 7 = 2205
Therefore, the value for common factors is 2205.
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 = 202865440561875/(1x2205)
LCM = 202865440561875/2205
LCM = 92002467375
Thus, we can understand that the LCM of 699,735,551,819,875 is 92002467375.
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FAQs on LCM of 699, 735, 551, 819, 875
1. What is the LCM of 699, 735, 551, 819, 875?
Answer: LCM of 699, 735, 551, 819, 875 is 92002467375.
2. How to calculate the LCM of 699, 735, 551, 819, 875?
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 699, 735, 551, 819, 875.
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}.