LCM of 474, 215, 827, 771, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 215, 827, 771, 294 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 474, 215, 827, 771, 294. So, keep reading to learn more.
Given numbers are 474,215,827,771,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,215,827,771,294 is 1061332625010.
Find LCM of 474,215,827,771,294 with Prime Factorization
| 2 | 474, 215, 827, 771, 294 |
| 3 | 237, 215, 827, 771, 147 |
| 79, 215, 827, 257, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 79 x 215 x 827 x 257 x 49 = 1061332625010
Therefore, the lowest common multiple of 474,215,827,771,294 is 1061332625010.
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.
474 x 215 x 827 x 771 x 294 = 19103987250180
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
215 : 1, 5, 43, 215
827 : 1, 827
771 : 1, 3, 257, 771
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,215,827,771,294, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
215:5x 43
827:827
771:3x 257
294:2x 3x 7x 7
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 3 = 18
Therefore, the value for common factors is 18.
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 = 19103987250180/(1x18)
LCM = 19103987250180/18
LCM = 1061332625010
Thus, we can understand that the LCM of 474,215,827,771,294 is 1061332625010.
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FAQs on LCM of 474, 215, 827, 771, 294
1. What is the LCM of 474, 215, 827, 771, 294?
Answer: LCM of 474, 215, 827, 771, 294 is 1061332625010.
2. How to calculate the LCM of 474, 215, 827, 771, 294?
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 474, 215, 827, 771, 294.
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}.