LCM of 364, 945, 100, 910, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 945, 100, 910, 547 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 364, 945, 100, 910, 547. So, keep reading to learn more.
Given numbers are 364,945,100,910,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,945,100,910,547 is 134397900.
Find LCM of 364,945,100,910,547 with Prime Factorization
| 2 | 364, 945, 100, 910, 547 |
| 2 | 182, 945, 50, 455, 547 |
| 5 | 91, 945, 25, 455, 547 |
| 7 | 91, 189, 5, 91, 547 |
| 13 | 13, 27, 5, 13, 547 |
| 1, 27, 5, 1, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 1 x 27 x 5 x 1 x 547 = 134397900
Therefore, the lowest common multiple of 364,945,100,910,547 is 134397900.
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.
364 x 945 x 100 x 910 x 547 = 17122292460000
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,945,100,910,547, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
945:3x 3x 3x 5x 7
100:2x 2x 5x 5
910:2x 5x 7x 13
547:547
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 5x 5x 7x 7x 13 = 127400
Therefore, the value for common factors is 127400.
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 = 17122292460000/(1x127400)
LCM = 17122292460000/127400
LCM = 134397900
Thus, we can understand that the LCM of 364,945,100,910,547 is 134397900.
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FAQs on LCM of 364, 945, 100, 910, 547
1. What is the LCM of 364, 945, 100, 910, 547?
Answer: LCM of 364, 945, 100, 910, 547 is 134397900.
2. How to calculate the LCM of 364, 945, 100, 910, 547?
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 364, 945, 100, 910, 547.
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}.