LCM of 174, 960, 865, 769, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 960, 865, 769, 586 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 174, 960, 865, 769, 586. So, keep reading to learn more.
Given numbers are 174,960,865,769,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,960,865,769,586 is 1085198773440.
Find LCM of 174,960,865,769,586 with Prime Factorization
| 2 | 174, 960, 865, 769, 586 |
| 3 | 87, 480, 865, 769, 293 |
| 5 | 29, 160, 865, 769, 293 |
| 29, 32, 173, 769, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 32 x 173 x 769 x 293 = 1085198773440
Therefore, the lowest common multiple of 174,960,865,769,586 is 1085198773440.
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.
174 x 960 x 865 x 769 x 586 = 65111926406400
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
865 : 1, 5, 173, 865
769 : 1, 769
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,960,865,769,586, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
960:2x 2x 2x 2x 2x 2x 3x 5
865:5x 173
769:769
586:2x 293
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 65111926406400/(1x60)
LCM = 65111926406400/60
LCM = 1085198773440
Thus, we can understand that the LCM of 174,960,865,769,586 is 1085198773440.
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FAQs on LCM of 174, 960, 865, 769, 586
1. What is the LCM of 174, 960, 865, 769, 586?
Answer: LCM of 174, 960, 865, 769, 586 is 1085198773440.
2. How to calculate the LCM of 174, 960, 865, 769, 586?
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 174, 960, 865, 769, 586.
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}.