LCM of 988, 685, 154, 690, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 685, 154, 690, 774 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 988, 685, 154, 690, 774. So, keep reading to learn more.
Given numbers are 988,685,154,690,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,685,154,690,774 is 463849446060.
Find LCM of 988,685,154,690,774 with Prime Factorization
| 2 | 988, 685, 154, 690, 774 |
| 3 | 494, 685, 77, 345, 387 |
| 5 | 494, 685, 77, 115, 129 |
| 494, 137, 77, 23, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 494 x 137 x 77 x 23 x 129 = 463849446060
Therefore, the lowest common multiple of 988,685,154,690,774 is 463849446060.
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.
988 x 685 x 154 x 690 x 774 = 55661933527200
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
685 : 1, 5, 137, 685
154 : 1, 2, 7, 11, 14, 22, 77, 154
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,685,154,690,774, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
685:5x 137
154:2x 7x 11
690:2x 3x 5x 23
774:2x 3x 3x 43
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 = 55661933527200/(1x120)
LCM = 55661933527200/120
LCM = 463849446060
Thus, we can understand that the LCM of 988,685,154,690,774 is 463849446060.
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FAQs on LCM of 988, 685, 154, 690, 774
1. What is the LCM of 988, 685, 154, 690, 774?
Answer: LCM of 988, 685, 154, 690, 774 is 463849446060.
2. How to calculate the LCM of 988, 685, 154, 690, 774?
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 988, 685, 154, 690, 774.
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}.