LCM of 298, 976, 756, 183, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 976, 756, 183, 640 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 298, 976, 756, 183, 640. So, keep reading to learn more.
Given numbers are 298,976,756,183,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,976,756,183,640 is 1099405440.
Find LCM of 298,976,756,183,640 with Prime Factorization
| 2 | 298, 976, 756, 183, 640 |
| 2 | 149, 488, 378, 183, 320 |
| 2 | 149, 244, 189, 183, 160 |
| 2 | 149, 122, 189, 183, 80 |
| 3 | 149, 61, 189, 183, 40 |
| 61 | 149, 61, 63, 61, 40 |
| 149, 1, 63, 1, 40 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 61 x 149 x 1 x 63 x 1 x 40 = 1099405440
Therefore, the lowest common multiple of 298,976,756,183,640 is 1099405440.
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.
298 x 976 x 756 x 183 x 640 = 25752473026560
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.
298 : 1, 2, 149, 298
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
183 : 1, 3, 61, 183
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,976,756,183,640, is 1.
Now, the common factors can be found like this.
298:2x 149
976:2x 2x 2x 2x 61
756:2x 2x 3x 3x 3x 7
183:3x 61
640:2x 2x 2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 3x 61 = 23424
Therefore, the value for common factors is 23424.
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 = 25752473026560/(1x23424)
LCM = 25752473026560/23424
LCM = 1099405440
Thus, we can understand that the LCM of 298,976,756,183,640 is 1099405440.
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FAQs on LCM of 298, 976, 756, 183, 640
1. What is the LCM of 298, 976, 756, 183, 640?
Answer: LCM of 298, 976, 756, 183, 640 is 1099405440.
2. How to calculate the LCM of 298, 976, 756, 183, 640?
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 298, 976, 756, 183, 640.
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}.