LCM of 697, 854, 396, 744, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 854, 396, 744, 672 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 697, 854, 396, 744, 672. So, keep reading to learn more.
Given numbers are 697,854,396,744,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,854,396,744,672 is 29228566752.
Find LCM of 697,854,396,744,672 with Prime Factorization
| 2 | 697, 854, 396, 744, 672 |
| 2 | 697, 427, 198, 372, 336 |
| 2 | 697, 427, 99, 186, 168 |
| 3 | 697, 427, 99, 93, 84 |
| 7 | 697, 427, 33, 31, 28 |
| 697, 61, 33, 31, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 697 x 61 x 33 x 31 x 4 = 29228566752
Therefore, the lowest common multiple of 697,854,396,744,672 is 29228566752.
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.
697 x 854 x 396 x 744 x 672 = 117849581144064
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.
697 : 1, 17, 41, 697
854 : 1, 2, 7, 14, 61, 122, 427, 854
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,854,396,744,672, is 1.
Now, the common factors can be found like this.
697:17x 41
854:2x 7x 61
396:2x 2x 3x 3x 11
744:2x 2x 2x 3x 31
672:2x 2x 2x 2x 2x 3x 7
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 2x 2x 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 117849581144064/(1x4032)
LCM = 117849581144064/4032
LCM = 29228566752
Thus, we can understand that the LCM of 697,854,396,744,672 is 29228566752.
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FAQs on LCM of 697, 854, 396, 744, 672
1. What is the LCM of 697, 854, 396, 744, 672?
Answer: LCM of 697, 854, 396, 744, 672 is 29228566752.
2. How to calculate the LCM of 697, 854, 396, 744, 672?
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 697, 854, 396, 744, 672.
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}.