LCM of 691, 278, 988, 188, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 691, 278, 988, 188, 844 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 691, 278, 988, 188, 844. So, keep reading to learn more.
Given numbers are 691,278,988,188,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,278,988,188,844 is 941087717804.
Find LCM of 691,278,988,188,844 with Prime Factorization
| 2 | 691, 278, 988, 188, 844 |
| 2 | 691, 139, 494, 94, 422 |
| 691, 139, 247, 47, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 691 x 139 x 247 x 47 x 211 = 941087717804
Therefore, the lowest common multiple of 691,278,988,188,844 is 941087717804.
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.
691 x 278 x 988 x 188 x 844 = 30114806969728
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.
691 : 1, 691
278 : 1, 2, 139, 278
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
188 : 1, 2, 4, 47, 94, 188
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,278,988,188,844, is 1.
Now, the common factors can be found like this.
691:691
278:2x 139
988:2x 2x 13x 19
188:2x 2x 47
844:2x 2x 211
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 30114806969728/(1x32)
LCM = 30114806969728/32
LCM = 941087717804
Thus, we can understand that the LCM of 691,278,988,188,844 is 941087717804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 691, 278, 988, 188, 844
1. What is the LCM of 691, 278, 988, 188, 844?
Answer: LCM of 691, 278, 988, 188, 844 is 941087717804.
2. How to calculate the LCM of 691, 278, 988, 188, 844?
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 691, 278, 988, 188, 844.
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}.