LCM of 394, 749, 416, 420, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 749, 416, 420, 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 394, 749, 416, 420, 688. So, keep reading to learn more.
Given numbers are 394,749,416,420,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,749,416,420,688 is 39591420960.
Find LCM of 394,749,416,420,688 with Prime Factorization
| 2 | 394, 749, 416, 420, 688 |
| 2 | 197, 749, 208, 210, 344 |
| 2 | 197, 749, 104, 105, 172 |
| 2 | 197, 749, 52, 105, 86 |
| 7 | 197, 749, 26, 105, 43 |
| 197, 107, 26, 15, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 197 x 107 x 26 x 15 x 43 = 39591420960
Therefore, the lowest common multiple of 394,749,416,420,688 is 39591420960.
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.
394 x 749 x 416 x 420 x 688 = 35473913180160
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.
394 : 1, 2, 197, 394
749 : 1, 7, 107, 749
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 394,749,416,420,688, is 1.
Now, the common factors can be found like this.
394:2x 197
749:7x 107
416:2x 2x 2x 2x 2x 13
420:2x 2x 3x 5x 7
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 2x 7 = 896
Therefore, the value for common factors is 896.
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 = 35473913180160/(1x896)
LCM = 35473913180160/896
LCM = 39591420960
Thus, we can understand that the LCM of 394,749,416,420,688 is 39591420960.
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FAQs on LCM of 394, 749, 416, 420, 688
1. What is the LCM of 394, 749, 416, 420, 688?
Answer: LCM of 394, 749, 416, 420, 688 is 39591420960.
2. How to calculate the LCM of 394, 749, 416, 420, 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 394, 749, 416, 420, 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}.