LCM of 551, 805, 719, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 805, 719, 693 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, 805, 719, 693. So, keep reading to learn more.
Given numbers are 551,805,719,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,805,719,693 is 31572688455.
Find LCM of 551,805,719,693 with Prime Factorization
| 7 | 551, 805, 719, 693 |
| 551, 115, 719, 99 |
Multiply the prime numbers at the bottom and the left side.
7 x 551 x 115 x 719 x 99 = 31572688455
Therefore, the lowest common multiple of 551,805,719,693 is 31572688455.
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 805 x 719 x 693 = 221008819185
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
805 : 1, 5, 7, 23, 35, 115, 161, 805
719 : 1, 719
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,805,719,693, is 1.
Now, the common factors can be found like this.
551:19x 29
805:5x 7x 23
719:719
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 221008819185/(1x7)
LCM = 221008819185/7
LCM = 31572688455
Thus, we can understand that the LCM of 551,805,719,693 is 31572688455.
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FAQs on LCM of 551, 805, 719, 693
1. What is the LCM of 551, 805, 719, 693?
Answer: LCM of 551, 805, 719, 693 is 31572688455.
2. How to calculate the LCM of 551, 805, 719, 693?
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, 805, 719, 693.
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}.