LCM of 308, 940, 974, 175, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 940, 974, 175, 508 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 308, 940, 974, 175, 508. So, keep reading to learn more.
Given numbers are 308,940,974,175,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,940,974,175,508 is 22383153100.
Find LCM of 308,940,974,175,508 with Prime Factorization
| 2 | 308, 940, 974, 175, 508 |
| 2 | 154, 470, 487, 175, 254 |
| 5 | 77, 235, 487, 175, 127 |
| 7 | 77, 47, 487, 35, 127 |
| 11, 47, 487, 5, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 47 x 487 x 5 x 127 = 22383153100
Therefore, the lowest common multiple of 308,940,974,175,508 is 22383153100.
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.
308 x 940 x 974 x 175 x 508 = 25069131472000
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
974 : 1, 2, 487, 974
175 : 1, 5, 7, 25, 35, 175
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,940,974,175,508, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
940:2x 2x 5x 47
974:2x 487
175:5x 5x 7
508:2x 2x 127
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 5x 7 = 1120
Therefore, the value for common factors is 1120.
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 = 25069131472000/(1x1120)
LCM = 25069131472000/1120
LCM = 22383153100
Thus, we can understand that the LCM of 308,940,974,175,508 is 22383153100.
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FAQs on LCM of 308, 940, 974, 175, 508
1. What is the LCM of 308, 940, 974, 175, 508?
Answer: LCM of 308, 940, 974, 175, 508 is 22383153100.
2. How to calculate the LCM of 308, 940, 974, 175, 508?
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 308, 940, 974, 175, 508.
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}.