LCM of 117, 799, 660, 695, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 799, 660, 695, 874 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 117, 799, 660, 695, 874. So, keep reading to learn more.
Given numbers are 117,799,660,695,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,799,660,695,874 is 1249256331180.
Find LCM of 117,799,660,695,874 with Prime Factorization
| 2 | 117, 799, 660, 695, 874 |
| 3 | 117, 799, 330, 695, 437 |
| 5 | 39, 799, 110, 695, 437 |
| 39, 799, 22, 139, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 39 x 799 x 22 x 139 x 437 = 1249256331180
Therefore, the lowest common multiple of 117,799,660,695,874 is 1249256331180.
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.
117 x 799 x 660 x 695 x 874 = 37477689935400
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.
117 : 1, 3, 9, 13, 39, 117
799 : 1, 17, 47, 799
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
695 : 1, 5, 139, 695
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,799,660,695,874, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
799:17x 47
660:2x 2x 3x 5x 11
695:5x 139
874:2x 19x 23
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 5 = 30
Therefore, the value for common factors is 30.
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 = 37477689935400/(1x30)
LCM = 37477689935400/30
LCM = 1249256331180
Thus, we can understand that the LCM of 117,799,660,695,874 is 1249256331180.
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FAQs on LCM of 117, 799, 660, 695, 874
1. What is the LCM of 117, 799, 660, 695, 874?
Answer: LCM of 117, 799, 660, 695, 874 is 1249256331180.
2. How to calculate the LCM of 117, 799, 660, 695, 874?
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 117, 799, 660, 695, 874.
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}.