LCM of 688, 758, 112, 722, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 758, 112, 722, 950 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 688, 758, 112, 722, 950. So, keep reading to learn more.
Given numbers are 688,758,112,722,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,758,112,722,950 is 16473007600.
Find LCM of 688,758,112,722,950 with Prime Factorization
| 2 | 688, 758, 112, 722, 950 |
| 2 | 344, 379, 56, 361, 475 |
| 2 | 172, 379, 28, 361, 475 |
| 2 | 86, 379, 14, 361, 475 |
| 19 | 43, 379, 7, 361, 475 |
| 43, 379, 7, 19, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 19 x 43 x 379 x 7 x 19 x 25 = 16473007600
Therefore, the lowest common multiple of 688,758,112,722,950 is 16473007600.
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.
688 x 758 x 112 x 722 x 950 = 40062354483200
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
758 : 1, 2, 379, 758
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
722 : 1, 2, 19, 38, 361, 722
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,758,112,722,950, is 2.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
758:2x 379
112:2x 2x 2x 2x 7
722:2x 19x 19
950:2x 5x 5x 19
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 2x 2x 19 = 1216
Therefore, the value for common factors is 1216.
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 = 40062354483200/(2x1216)
LCM = 40062354483200/2432
LCM = 16473007600
Thus, we can understand that the LCM of 688,758,112,722,950 is 16473007600.
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FAQs on LCM of 688, 758, 112, 722, 950
1. What is the LCM of 688, 758, 112, 722, 950?
Answer: LCM of 688, 758, 112, 722, 950 is 16473007600.
2. How to calculate the LCM of 688, 758, 112, 722, 950?
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 688, 758, 112, 722, 950.
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}.