LCM of 693, 706, 120, 462, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 706, 120, 462, 356 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, 706, 120, 462, 356. So, keep reading to learn more.
Given numbers are 693,706,120,462,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,706,120,462,356 is 870879240.
Find LCM of 693,706,120,462,356 with Prime Factorization
| 2 | 693, 706, 120, 462, 356 |
| 2 | 693, 353, 60, 231, 178 |
| 3 | 693, 353, 30, 231, 89 |
| 7 | 77, 353, 10, 231, 89 |
| 11 | 11, 353, 10, 33, 89 |
| 1, 353, 10, 3, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 1 x 353 x 10 x 3 x 89 = 870879240
Therefore, the lowest common multiple of 693,706,120,462,356 is 870879240.
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 706 x 120 x 462 x 356 = 9656309013120
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
706 : 1, 2, 353, 706
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,706,120,462,356, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
706:2x 353
120:2x 2x 2x 3x 5
462:2x 3x 7x 11
356:2x 2x 89
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 2x 2x 3x 3x 7x 11 = 11088
Therefore, the value for common factors is 11088.
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 = 9656309013120/(1x11088)
LCM = 9656309013120/11088
LCM = 870879240
Thus, we can understand that the LCM of 693,706,120,462,356 is 870879240.
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FAQs on LCM of 693, 706, 120, 462, 356
1. What is the LCM of 693, 706, 120, 462, 356?
Answer: LCM of 693, 706, 120, 462, 356 is 870879240.
2. How to calculate the LCM of 693, 706, 120, 462, 356?
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, 706, 120, 462, 356.
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}.