LCM of 979, 904, 942, 508, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 904, 942, 508, 594 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 979, 904, 942, 508, 594. So, keep reading to learn more.
Given numbers are 979,904,942,508,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,904,942,508,594 is 476451018648.
Find LCM of 979,904,942,508,594 with Prime Factorization
| 2 | 979, 904, 942, 508, 594 |
| 2 | 979, 452, 471, 254, 297 |
| 3 | 979, 226, 471, 127, 297 |
| 11 | 979, 226, 157, 127, 99 |
| 89, 226, 157, 127, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 89 x 226 x 157 x 127 x 9 = 476451018648
Therefore, the lowest common multiple of 979,904,942,508,594 is 476451018648.
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.
979 x 904 x 942 x 508 x 594 = 251566137846144
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.
979 : 1, 11, 89, 979
904 : 1, 2, 4, 8, 113, 226, 452, 904
942 : 1, 2, 3, 6, 157, 314, 471, 942
508 : 1, 2, 4, 127, 254, 508
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,904,942,508,594, is 1.
Now, the common factors can be found like this.
979:11x 89
904:2x 2x 2x 113
942:2x 3x 157
508:2x 2x 127
594:2x 3x 3x 3x 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 11 = 528
Therefore, the value for common factors is 528.
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 = 251566137846144/(1x528)
LCM = 251566137846144/528
LCM = 476451018648
Thus, we can understand that the LCM of 979,904,942,508,594 is 476451018648.
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FAQs on LCM of 979, 904, 942, 508, 594
1. What is the LCM of 979, 904, 942, 508, 594?
Answer: LCM of 979, 904, 942, 508, 594 is 476451018648.
2. How to calculate the LCM of 979, 904, 942, 508, 594?
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 979, 904, 942, 508, 594.
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}.