LCM of 117, 778, 865, 442, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 778, 865, 442, 459 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, 778, 865, 442, 459. So, keep reading to learn more.
Given numbers are 117,778,865,442,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,778,865,442,459 is 4015611990.
Find LCM of 117,778,865,442,459 with Prime Factorization
| 2 | 117, 778, 865, 442, 459 |
| 3 | 117, 389, 865, 221, 459 |
| 3 | 39, 389, 865, 221, 153 |
| 13 | 13, 389, 865, 221, 51 |
| 17 | 1, 389, 865, 17, 51 |
| 1, 389, 865, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 17 x 1 x 389 x 865 x 1 x 3 = 4015611990
Therefore, the lowest common multiple of 117,778,865,442,459 is 4015611990.
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 778 x 865 x 442 x 459 = 15974104496220
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
778 : 1, 2, 389, 778
865 : 1, 5, 173, 865
442 : 1, 2, 13, 17, 26, 34, 221, 442
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,778,865,442,459, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
778:2x 389
865:5x 173
442:2x 13x 17
459:3x 3x 3x 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 13x 17 = 3978
Therefore, the value for common factors is 3978.
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 = 15974104496220/(1x3978)
LCM = 15974104496220/3978
LCM = 4015611990
Thus, we can understand that the LCM of 117,778,865,442,459 is 4015611990.
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FAQs on LCM of 117, 778, 865, 442, 459
1. What is the LCM of 117, 778, 865, 442, 459?
Answer: LCM of 117, 778, 865, 442, 459 is 4015611990.
2. How to calculate the LCM of 117, 778, 865, 442, 459?
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, 778, 865, 442, 459.
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}.