LCM of 145, 841, 112, 319, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 145, 841, 112, 319, 826 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 145, 841, 112, 319, 826. So, keep reading to learn more.
Given numbers are 145,841,112,319,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,841,112,319,826 is 305653040.
Find LCM of 145,841,112,319,826 with Prime Factorization
| 2 | 145, 841, 112, 319, 826 |
| 7 | 145, 841, 56, 319, 413 |
| 29 | 145, 841, 8, 319, 59 |
| 5, 29, 8, 11, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 5 x 29 x 8 x 11 x 59 = 305653040
Therefore, the lowest common multiple of 145,841,112,319,826 is 305653040.
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.
145 x 841 x 112 x 319 x 826 = 3598758892960
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.
145 : 1, 5, 29, 145
841 : 1, 29, 841
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
319 : 1, 11, 29, 319
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,841,112,319,826, is 1.
Now, the common factors can be found like this.
145:5x 29
841:29x 29
112:2x 2x 2x 2x 7
319:11x 29
826:2x 7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 29x 29 = 11774
Therefore, the value for common factors is 11774.
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 = 3598758892960/(1x11774)
LCM = 3598758892960/11774
LCM = 305653040
Thus, we can understand that the LCM of 145,841,112,319,826 is 305653040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 145, 841, 112, 319, 826
1. What is the LCM of 145, 841, 112, 319, 826?
Answer: LCM of 145, 841, 112, 319, 826 is 305653040.
2. How to calculate the LCM of 145, 841, 112, 319, 826?
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 145, 841, 112, 319, 826.
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}.