LCM of 561, 176, 274, 917, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 176, 274, 917, 130 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 561, 176, 274, 917, 130. So, keep reading to learn more.
Given numbers are 561,176,274,917,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,176,274,917,130 is 73296983760.
Find LCM of 561,176,274,917,130 with Prime Factorization
| 2 | 561, 176, 274, 917, 130 |
| 11 | 561, 88, 137, 917, 65 |
| 51, 8, 137, 917, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 51 x 8 x 137 x 917 x 65 = 73296983760
Therefore, the lowest common multiple of 561,176,274,917,130 is 73296983760.
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.
561 x 176 x 274 x 917 x 130 = 3225067285440
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
274 : 1, 2, 137, 274
917 : 1, 7, 131, 917
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,176,274,917,130, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
176:2x 2x 2x 2x 11
274:2x 137
917:7x 131
130:2x 5x 13
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 11 = 44
Therefore, the value for common factors is 44.
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 = 3225067285440/(1x44)
LCM = 3225067285440/44
LCM = 73296983760
Thus, we can understand that the LCM of 561,176,274,917,130 is 73296983760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 176, 274, 917, 130
1. What is the LCM of 561, 176, 274, 917, 130?
Answer: LCM of 561, 176, 274, 917, 130 is 73296983760.
2. How to calculate the LCM of 561, 176, 274, 917, 130?
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 561, 176, 274, 917, 130.
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}.