LCM of 759, 376, 184, 487, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 376, 184, 487, 943 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 759, 376, 184, 487, 943. So, keep reading to learn more.
Given numbers are 759,376,184,487,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,376,184,487,943 is 5698262328.
Find LCM of 759,376,184,487,943 with Prime Factorization
| 2 | 759, 376, 184, 487, 943 |
| 2 | 759, 188, 92, 487, 943 |
| 2 | 759, 94, 46, 487, 943 |
| 23 | 759, 47, 23, 487, 943 |
| 33, 47, 1, 487, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 33 x 47 x 1 x 487 x 41 = 5698262328
Therefore, the lowest common multiple of 759,376,184,487,943 is 5698262328.
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.
759 x 376 x 184 x 487 x 943 = 24115046172096
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
376 : 1, 2, 4, 8, 47, 94, 188, 376
184 : 1, 2, 4, 8, 23, 46, 92, 184
487 : 1, 487
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,376,184,487,943, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
376:2x 2x 2x 47
184:2x 2x 2x 23
487:487
943:23x 41
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 23x 23 = 4232
Therefore, the value for common factors is 4232.
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 = 24115046172096/(1x4232)
LCM = 24115046172096/4232
LCM = 5698262328
Thus, we can understand that the LCM of 759,376,184,487,943 is 5698262328.
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FAQs on LCM of 759, 376, 184, 487, 943
1. What is the LCM of 759, 376, 184, 487, 943?
Answer: LCM of 759, 376, 184, 487, 943 is 5698262328.
2. How to calculate the LCM of 759, 376, 184, 487, 943?
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 759, 376, 184, 487, 943.
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}.