LCM of 274, 914, 490, 224, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 914, 490, 224, 154 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 274, 914, 490, 224, 154. So, keep reading to learn more.
Given numbers are 274,914,490,224,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,914,490,224,154 is 5399400160.
Find LCM of 274,914,490,224,154 with Prime Factorization
| 2 | 274, 914, 490, 224, 154 |
| 7 | 137, 457, 245, 112, 77 |
| 137, 457, 35, 16, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 137 x 457 x 35 x 16 x 11 = 5399400160
Therefore, the lowest common multiple of 274,914,490,224,154 is 5399400160.
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.
274 x 914 x 490 x 224 x 154 = 4233129725440
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.
274 : 1, 2, 137, 274
914 : 1, 2, 457, 914
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
154 : 1, 2, 7, 11, 14, 22, 77, 154
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,914,490,224,154, is 2.
Now, the common factors can be found like this.
274:2x 137
914:2x 457
490:2x 5x 7x 7
224:2x 2x 2x 2x 2x 7
154:2x 7x 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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 4233129725440/(2x392)
LCM = 4233129725440/784
LCM = 5399400160
Thus, we can understand that the LCM of 274,914,490,224,154 is 5399400160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 274, 914, 490, 224, 154
1. What is the LCM of 274, 914, 490, 224, 154?
Answer: LCM of 274, 914, 490, 224, 154 is 5399400160.
2. How to calculate the LCM of 274, 914, 490, 224, 154?
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 274, 914, 490, 224, 154.
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}.