LCM of 693, 798, 528, 703, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 798, 528, 703, 357 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, 798, 528, 703, 357. So, keep reading to learn more.
Given numbers are 693,798,528,703,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,798,528,703,357 is 132512688.
Find LCM of 693,798,528,703,357 with Prime Factorization
| 2 | 693, 798, 528, 703, 357 |
| 3 | 693, 399, 264, 703, 357 |
| 7 | 231, 133, 88, 703, 119 |
| 11 | 33, 19, 88, 703, 17 |
| 19 | 3, 19, 8, 703, 17 |
| 3, 1, 8, 37, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 19 x 3 x 1 x 8 x 37 x 17 = 132512688
Therefore, the lowest common multiple of 693,798,528,703,357 is 132512688.
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 798 x 528 x 703 x 357 = 73281371641632
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
703 : 1, 19, 37, 703
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,798,528,703,357, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
798:2x 3x 7x 19
528:2x 2x 2x 2x 3x 11
703:19x 37
357:3x 7x 17
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 7x 7x 11x 19 = 553014
Therefore, the value for common factors is 553014.
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 = 73281371641632/(1x553014)
LCM = 73281371641632/553014
LCM = 132512688
Thus, we can understand that the LCM of 693,798,528,703,357 is 132512688.
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FAQs on LCM of 693, 798, 528, 703, 357
1. What is the LCM of 693, 798, 528, 703, 357?
Answer: LCM of 693, 798, 528, 703, 357 is 132512688.
2. How to calculate the LCM of 693, 798, 528, 703, 357?
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, 798, 528, 703, 357.
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}.