LCM of 344, 867, 238, 628, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 867, 238, 628, 688 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 344, 867, 238, 628, 688. So, keep reading to learn more.
Given numbers are 344,867,238,628,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,867,238,628,688 is 655549104.
Find LCM of 344,867,238,628,688 with Prime Factorization
| 2 | 344, 867, 238, 628, 688 |
| 2 | 172, 867, 119, 314, 344 |
| 2 | 86, 867, 119, 157, 172 |
| 17 | 43, 867, 119, 157, 86 |
| 43 | 43, 51, 7, 157, 86 |
| 1, 51, 7, 157, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 43 x 1 x 51 x 7 x 157 x 2 = 655549104
Therefore, the lowest common multiple of 344,867,238,628,688 is 655549104.
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.
344 x 867 x 238 x 628 x 688 = 30669209281536
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
867 : 1, 3, 17, 51, 289, 867
238 : 1, 2, 7, 14, 17, 34, 119, 238
628 : 1, 2, 4, 157, 314, 628
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,867,238,628,688, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
867:3x 17x 17
238:2x 7x 17
628:2x 2x 157
688:2x 2x 2x 2x 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 2x 2x 2x 17x 43 = 46784
Therefore, the value for common factors is 46784.
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 = 30669209281536/(1x46784)
LCM = 30669209281536/46784
LCM = 655549104
Thus, we can understand that the LCM of 344,867,238,628,688 is 655549104.
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FAQs on LCM of 344, 867, 238, 628, 688
1. What is the LCM of 344, 867, 238, 628, 688?
Answer: LCM of 344, 867, 238, 628, 688 is 655549104.
2. How to calculate the LCM of 344, 867, 238, 628, 688?
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 344, 867, 238, 628, 688.
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}.