LCM of 992, 276, 782, 902, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 276, 782, 902, 726 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 992, 276, 782, 902, 726. So, keep reading to learn more.
Given numbers are 992,276,782,902,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,276,782,902,726 is 5772698976.
Find LCM of 992,276,782,902,726 with Prime Factorization
| 2 | 992, 276, 782, 902, 726 |
| 2 | 496, 138, 391, 451, 363 |
| 3 | 248, 69, 391, 451, 363 |
| 11 | 248, 23, 391, 451, 121 |
| 23 | 248, 23, 391, 41, 11 |
| 248, 1, 17, 41, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 248 x 1 x 17 x 41 x 11 = 5772698976
Therefore, the lowest common multiple of 992,276,782,902,726 is 5772698976.
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.
992 x 276 x 782 x 902 x 726 = 140207312729088
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
782 : 1, 2, 17, 23, 34, 46, 391, 782
902 : 1, 2, 11, 22, 41, 82, 451, 902
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,276,782,902,726, is 2.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
276:2x 2x 3x 23
782:2x 17x 23
902:2x 11x 41
726:2x 3x 11x 11
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 3x 11x 23 = 12144
Therefore, the value for common factors is 12144.
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 = 140207312729088/(2x12144)
LCM = 140207312729088/24288
LCM = 5772698976
Thus, we can understand that the LCM of 992,276,782,902,726 is 5772698976.
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FAQs on LCM of 992, 276, 782, 902, 726
1. What is the LCM of 992, 276, 782, 902, 726?
Answer: LCM of 992, 276, 782, 902, 726 is 5772698976.
2. How to calculate the LCM of 992, 276, 782, 902, 726?
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 992, 276, 782, 902, 726.
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}.