LCM of 893, 788, 517, 155, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 788, 517, 155, 188 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, 788, 517, 155, 188. So, keep reading to learn more.
Given numbers are 893,788,517,155,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,788,517,155,188 is 1199781220.
Find LCM of 893,788,517,155,188 with Prime Factorization
| 2 | 893, 788, 517, 155, 188 |
| 2 | 893, 394, 517, 155, 94 |
| 47 | 893, 197, 517, 155, 47 |
| 19, 197, 11, 155, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 19 x 197 x 11 x 155 x 1 = 1199781220
Therefore, the lowest common multiple of 893,788,517,155,188 is 1199781220.
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 788 x 517 x 155 x 188 = 10601266859920
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
788 : 1, 2, 4, 197, 394, 788
517 : 1, 11, 47, 517
155 : 1, 5, 31, 155
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,788,517,155,188, is 1.
Now, the common factors can be found like this.
893:19x 47
788:2x 2x 197
517:11x 47
155:5x 31
188:2x 2x 47
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 47x 47 = 8836
Therefore, the value for common factors is 8836.
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 = 10601266859920/(1x8836)
LCM = 10601266859920/8836
LCM = 1199781220
Thus, we can understand that the LCM of 893,788,517,155,188 is 1199781220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 893, 788, 517, 155, 188
1. What is the LCM of 893, 788, 517, 155, 188?
Answer: LCM of 893, 788, 517, 155, 188 is 1199781220.
2. How to calculate the LCM of 893, 788, 517, 155, 188?
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, 788, 517, 155, 188.
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}.