LCM of 391, 545, 872, 817, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 545, 872, 817, 750 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 391, 545, 872, 817, 750. So, keep reading to learn more.
Given numbers are 391,545,872,817,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,545,872,817,750 is 104459169000.
Find LCM of 391,545,872,817,750 with Prime Factorization
| 2 | 391, 545, 872, 817, 750 |
| 5 | 391, 545, 436, 817, 375 |
| 109 | 391, 109, 436, 817, 75 |
| 391, 1, 4, 817, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 391 x 1 x 4 x 817 x 75 = 104459169000
Therefore, the lowest common multiple of 391,545,872,817,750 is 104459169000.
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.
391 x 545 x 872 x 817 x 750 = 113860494210000
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.
391 : 1, 17, 23, 391
545 : 1, 5, 109, 545
872 : 1, 2, 4, 8, 109, 218, 436, 872
817 : 1, 19, 43, 817
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,545,872,817,750, is 1.
Now, the common factors can be found like this.
391:17x 23
545:5x 109
872:2x 2x 2x 109
817:19x 43
750:2x 3x 5x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 109 = 1090
Therefore, the value for common factors is 1090.
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 = 113860494210000/(1x1090)
LCM = 113860494210000/1090
LCM = 104459169000
Thus, we can understand that the LCM of 391,545,872,817,750 is 104459169000.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 545, 872, 817, 750
1. What is the LCM of 391, 545, 872, 817, 750?
Answer: LCM of 391, 545, 872, 817, 750 is 104459169000.
2. How to calculate the LCM of 391, 545, 872, 817, 750?
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 391, 545, 872, 817, 750.
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}.