LCM of 893, 774, 634, 820, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 774, 634, 820, 330 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 893, 774, 634, 820, 330. So, keep reading to learn more.
Given numbers are 893,774,634,820,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,774,634,820,330 is 988162169940.
Find LCM of 893,774,634,820,330 with Prime Factorization
| 2 | 893, 774, 634, 820, 330 |
| 3 | 893, 387, 317, 410, 165 |
| 5 | 893, 129, 317, 410, 55 |
| 893, 129, 317, 82, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 893 x 129 x 317 x 82 x 11 = 988162169940
Therefore, the lowest common multiple of 893,774,634,820,330 is 988162169940.
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.
893 x 774 x 634 x 820 x 330 = 118579460392800
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.
893 : 1, 19, 47, 893
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
634 : 1, 2, 317, 634
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,774,634,820,330, is 1.
Now, the common factors can be found like this.
893:19x 47
774:2x 3x 3x 43
634:2x 317
820:2x 2x 5x 41
330:2x 3x 5x 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 2x 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 118579460392800/(1x120)
LCM = 118579460392800/120
LCM = 988162169940
Thus, we can understand that the LCM of 893,774,634,820,330 is 988162169940.
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FAQs on LCM of 893, 774, 634, 820, 330
1. What is the LCM of 893, 774, 634, 820, 330?
Answer: LCM of 893, 774, 634, 820, 330 is 988162169940.
2. How to calculate the LCM of 893, 774, 634, 820, 330?
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 893, 774, 634, 820, 330.
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}.