LCM of 154, 828, 274, 253, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 828, 274, 253, 388 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 154, 828, 274, 253, 388. So, keep reading to learn more.
Given numbers are 154,828,274,253,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,828,274,253,388 is 847253484.
Find LCM of 154,828,274,253,388 with Prime Factorization
| 2 | 154, 828, 274, 253, 388 |
| 2 | 77, 414, 137, 253, 194 |
| 11 | 77, 207, 137, 253, 97 |
| 23 | 7, 207, 137, 23, 97 |
| 7, 9, 137, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 7 x 9 x 137 x 1 x 97 = 847253484
Therefore, the lowest common multiple of 154,828,274,253,388 is 847253484.
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.
154 x 828 x 274 x 253 x 388 = 3429682103232
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
274 : 1, 2, 137, 274
253 : 1, 11, 23, 253
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,828,274,253,388, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
828:2x 2x 3x 3x 23
274:2x 137
253:11x 23
388:2x 2x 97
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 11x 23 = 4048
Therefore, the value for common factors is 4048.
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 = 3429682103232/(1x4048)
LCM = 3429682103232/4048
LCM = 847253484
Thus, we can understand that the LCM of 154,828,274,253,388 is 847253484.
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FAQs on LCM of 154, 828, 274, 253, 388
1. What is the LCM of 154, 828, 274, 253, 388?
Answer: LCM of 154, 828, 274, 253, 388 is 847253484.
2. How to calculate the LCM of 154, 828, 274, 253, 388?
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 154, 828, 274, 253, 388.
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}.