LCM of 847, 404, 567, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 404, 567, 364 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 847, 404, 567, 364. So, keep reading to learn more.
Given numbers are 847,404,567,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,404,567,364 is 360323964.
Find LCM of 847,404,567,364 with Prime Factorization
| 2 | 847, 404, 567, 364 |
| 2 | 847, 202, 567, 182 |
| 7 | 847, 101, 567, 91 |
| 121, 101, 81, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 121 x 101 x 81 x 13 = 360323964
Therefore, the lowest common multiple of 847,404,567,364 is 360323964.
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.
847 x 404 x 567 x 364 = 70623496944
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.
847 : 1, 7, 11, 77, 121, 847
404 : 1, 2, 4, 101, 202, 404
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,404,567,364, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
404:2x 2x 101
567:3x 3x 3x 3x 7
364:2x 2x 7x 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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 70623496944/(1x196)
LCM = 70623496944/196
LCM = 360323964
Thus, we can understand that the LCM of 847,404,567,364 is 360323964.
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FAQs on LCM of 847, 404, 567, 364
1. What is the LCM of 847, 404, 567, 364?
Answer: LCM of 847, 404, 567, 364 is 360323964.
2. How to calculate the LCM of 847, 404, 567, 364?
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 847, 404, 567, 364.
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}.