LCM of 658, 799, 688, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 799, 688, 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 658, 799, 688, 688. So, keep reading to learn more.
Given numbers are 658,799,688,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,799,688,688 is 3847984.
Find LCM of 658,799,688,688 with Prime Factorization
| 2 | 658, 799, 688, 688 |
| 2 | 329, 799, 344, 344 |
| 2 | 329, 799, 172, 172 |
| 2 | 329, 799, 86, 86 |
| 43 | 329, 799, 43, 43 |
| 47 | 329, 799, 1, 1 |
| 7, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 47 x 7 x 17 x 1 x 1 = 3847984
Therefore, the lowest common multiple of 658,799,688,688 is 3847984.
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.
658 x 799 x 688 x 688 = 248856821248
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
799 : 1, 17, 47, 799
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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 658,799,688,688, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
799:17x 47
688:2x 2x 2x 2x 43
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 43x 47 = 64672
Therefore, the value for common factors is 64672.
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 = 248856821248/(1x64672)
LCM = 248856821248/64672
LCM = 3847984
Thus, we can understand that the LCM of 658,799,688,688 is 3847984.
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FAQs on LCM of 658, 799, 688, 688
1. What is the LCM of 658, 799, 688, 688?
Answer: LCM of 658, 799, 688, 688 is 3847984.
2. How to calculate the LCM of 658, 799, 688, 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 658, 799, 688, 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}.