LCM of 515, 723, 920, 916, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 723, 920, 916, 368 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 515, 723, 920, 916, 368. So, keep reading to learn more.
Given numbers are 515,723,920,916,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,723,920,916,368 is 31378257840.
Find LCM of 515,723,920,916,368 with Prime Factorization
| 2 | 515, 723, 920, 916, 368 |
| 2 | 515, 723, 460, 458, 184 |
| 2 | 515, 723, 230, 229, 92 |
| 5 | 515, 723, 115, 229, 46 |
| 23 | 103, 723, 23, 229, 46 |
| 103, 723, 1, 229, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 23 x 103 x 723 x 1 x 229 x 2 = 31378257840
Therefore, the lowest common multiple of 515,723,920,916,368 is 31378257840.
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.
515 x 723 x 920 x 916 x 368 = 115471988851200
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.
515 : 1, 5, 103, 515
723 : 1, 3, 241, 723
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
916 : 1, 2, 4, 229, 458, 916
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,723,920,916,368, is 1.
Now, the common factors can be found like this.
515:5x 103
723:3x 241
920:2x 2x 2x 5x 23
916:2x 2x 229
368:2x 2x 2x 2x 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 2x 2x 2x 2x 5x 23 = 3680
Therefore, the value for common factors is 3680.
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 = 115471988851200/(1x3680)
LCM = 115471988851200/3680
LCM = 31378257840
Thus, we can understand that the LCM of 515,723,920,916,368 is 31378257840.
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FAQs on LCM of 515, 723, 920, 916, 368
1. What is the LCM of 515, 723, 920, 916, 368?
Answer: LCM of 515, 723, 920, 916, 368 is 31378257840.
2. How to calculate the LCM of 515, 723, 920, 916, 368?
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 515, 723, 920, 916, 368.
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}.