LCM of 751, 234, 559, 468, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 234, 559, 468, 859 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 751, 234, 559, 468, 859. So, keep reading to learn more.
Given numbers are 751,234,559,468,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,234,559,468,859 is 12982173516.
Find LCM of 751,234,559,468,859 with Prime Factorization
| 2 | 751, 234, 559, 468, 859 |
| 3 | 751, 117, 559, 234, 859 |
| 3 | 751, 39, 559, 78, 859 |
| 13 | 751, 13, 559, 26, 859 |
| 751, 1, 43, 2, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 751 x 1 x 43 x 2 x 859 = 12982173516
Therefore, the lowest common multiple of 751,234,559,468,859 is 12982173516.
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.
751 x 234 x 559 x 468 x 859 = 39491771835672
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.
751 : 1, 751
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
559 : 1, 13, 43, 559
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,234,559,468,859, is 1.
Now, the common factors can be found like this.
751:751
234:2x 3x 3x 13
559:13x 43
468:2x 2x 3x 3x 13
859:859
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 13 = 3042
Therefore, the value for common factors is 3042.
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 = 39491771835672/(1x3042)
LCM = 39491771835672/3042
LCM = 12982173516
Thus, we can understand that the LCM of 751,234,559,468,859 is 12982173516.
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FAQs on LCM of 751, 234, 559, 468, 859
1. What is the LCM of 751, 234, 559, 468, 859?
Answer: LCM of 751, 234, 559, 468, 859 is 12982173516.
2. How to calculate the LCM of 751, 234, 559, 468, 859?
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 751, 234, 559, 468, 859.
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}.