LCM of 364, 893, 931, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 893, 931, 454 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, 893, 931, 454. So, keep reading to learn more.
Given numbers are 364,893,931,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,893,931,454 is 516507628.
Find LCM of 364,893,931,454 with Prime Factorization
| 2 | 364, 893, 931, 454 |
| 7 | 182, 893, 931, 227 |
| 19 | 26, 893, 133, 227 |
| 26, 47, 7, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 26 x 47 x 7 x 227 = 516507628
Therefore, the lowest common multiple of 364,893,931,454 is 516507628.
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 893 x 931 x 454 = 137391029048
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
893 : 1, 19, 47, 893
931 : 1, 7, 19, 49, 133, 931
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,893,931,454, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
893:19x 47
931:7x 7x 19
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
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 = 137391029048/(1x266)
LCM = 137391029048/266
LCM = 516507628
Thus, we can understand that the LCM of 364,893,931,454 is 516507628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 364, 893, 931, 454
1. What is the LCM of 364, 893, 931, 454?
Answer: LCM of 364, 893, 931, 454 is 516507628.
2. How to calculate the LCM of 364, 893, 931, 454?
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, 893, 931, 454.
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}.