LCM of 274, 561, 187, 105, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 561, 187, 105, 770 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, 561, 187, 105, 770. So, keep reading to learn more.
Given numbers are 274,561,187,105,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,561,187,105,770 is 5379990.
Find LCM of 274,561,187,105,770 with Prime Factorization
| 2 | 274, 561, 187, 105, 770 |
| 3 | 137, 561, 187, 105, 385 |
| 5 | 137, 187, 187, 35, 385 |
| 7 | 137, 187, 187, 7, 77 |
| 11 | 137, 187, 187, 1, 11 |
| 17 | 137, 17, 17, 1, 1 |
| 137, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 17 x 137 x 1 x 1 x 1 x 1 = 5379990
Therefore, the lowest common multiple of 274,561,187,105,770 is 5379990.
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 561 x 187 x 105 x 770 = 2323994280300
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
561 : 1, 3, 11, 17, 33, 51, 187, 561
187 : 1, 11, 17, 187
105 : 1, 3, 5, 7, 15, 21, 35, 105
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,561,187,105,770, is 1.
Now, the common factors can be found like this.
274:2x 137
561:3x 11x 17
187:11x 17
105:3x 5x 7
770:2x 5x 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 3x 5x 7x 11x 11x 17 = 431970
Therefore, the value for common factors is 431970.
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 = 2323994280300/(1x431970)
LCM = 2323994280300/431970
LCM = 5379990
Thus, we can understand that the LCM of 274,561,187,105,770 is 5379990.
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FAQs on LCM of 274, 561, 187, 105, 770
1. What is the LCM of 274, 561, 187, 105, 770?
Answer: LCM of 274, 561, 187, 105, 770 is 5379990.
2. How to calculate the LCM of 274, 561, 187, 105, 770?
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, 561, 187, 105, 770.
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}.