LCM of 693, 669, 744, 626, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 669, 744, 626, 522 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 693, 669, 744, 626, 522. So, keep reading to learn more.
Given numbers are 693,669,744,626,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,669,744,626,522 is 347882124744.
Find LCM of 693,669,744,626,522 with Prime Factorization
| 2 | 693, 669, 744, 626, 522 |
| 3 | 693, 669, 372, 313, 261 |
| 3 | 231, 223, 124, 313, 87 |
| 77, 223, 124, 313, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 77 x 223 x 124 x 313 x 29 = 347882124744
Therefore, the lowest common multiple of 693,669,744,626,522 is 347882124744.
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.
693 x 669 x 744 x 626 x 522 = 112713808417056
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
669 : 1, 3, 223, 669
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
626 : 1, 2, 313, 626
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,669,744,626,522, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
669:3x 223
744:2x 2x 2x 3x 31
626:2x 313
522:2x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 112713808417056/(1x324)
LCM = 112713808417056/324
LCM = 347882124744
Thus, we can understand that the LCM of 693,669,744,626,522 is 347882124744.
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FAQs on LCM of 693, 669, 744, 626, 522
1. What is the LCM of 693, 669, 744, 626, 522?
Answer: LCM of 693, 669, 744, 626, 522 is 347882124744.
2. How to calculate the LCM of 693, 669, 744, 626, 522?
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 693, 669, 744, 626, 522.
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}.