LCM of 612, 428, 856, 707, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 428, 856, 707, 962 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 612, 428, 856, 707, 962. So, keep reading to learn more.
Given numbers are 612,428,856,707,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,428,856,707,962 is 44537894856.
Find LCM of 612,428,856,707,962 with Prime Factorization
| 2 | 612, 428, 856, 707, 962 |
| 2 | 306, 214, 428, 707, 481 |
| 107 | 153, 107, 214, 707, 481 |
| 153, 1, 2, 707, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 153 x 1 x 2 x 707 x 481 = 44537894856
Therefore, the lowest common multiple of 612,428,856,707,962 is 44537894856.
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.
612 x 428 x 856 x 707 x 962 = 152497751986944
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
428 : 1, 2, 4, 107, 214, 428
856 : 1, 2, 4, 8, 107, 214, 428, 856
707 : 1, 7, 101, 707
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,428,856,707,962, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
428:2x 2x 107
856:2x 2x 2x 107
707:7x 101
962:2x 13x 37
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 107 = 3424
Therefore, the value for common factors is 3424.
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 = 152497751986944/(1x3424)
LCM = 152497751986944/3424
LCM = 44537894856
Thus, we can understand that the LCM of 612,428,856,707,962 is 44537894856.
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FAQs on LCM of 612, 428, 856, 707, 962
1. What is the LCM of 612, 428, 856, 707, 962?
Answer: LCM of 612, 428, 856, 707, 962 is 44537894856.
2. How to calculate the LCM of 612, 428, 856, 707, 962?
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 612, 428, 856, 707, 962.
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}.