LCM of 314, 918, 194, 611, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 918, 194, 611, 648 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 314, 918, 194, 611, 648. So, keep reading to learn more.
Given numbers are 314,918,194,611,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,918,194,611,648 is 102502987704.
Find LCM of 314,918,194,611,648 with Prime Factorization
| 2 | 314, 918, 194, 611, 648 |
| 3 | 157, 459, 97, 611, 324 |
| 3 | 157, 153, 97, 611, 108 |
| 3 | 157, 51, 97, 611, 36 |
| 157, 17, 97, 611, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 157 x 17 x 97 x 611 x 12 = 102502987704
Therefore, the lowest common multiple of 314,918,194,611,648 is 102502987704.
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.
314 x 918 x 194 x 611 x 648 = 22140645344064
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.
314 : 1, 2, 157, 314
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
194 : 1, 2, 97, 194
611 : 1, 13, 47, 611
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,918,194,611,648, is 1.
Now, the common factors can be found like this.
314:2x 157
918:2x 3x 3x 3x 17
194:2x 97
611:13x 47
648:2x 2x 2x 3x 3x 3x 3
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 22140645344064/(1x216)
LCM = 22140645344064/216
LCM = 102502987704
Thus, we can understand that the LCM of 314,918,194,611,648 is 102502987704.
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FAQs on LCM of 314, 918, 194, 611, 648
1. What is the LCM of 314, 918, 194, 611, 648?
Answer: LCM of 314, 918, 194, 611, 648 is 102502987704.
2. How to calculate the LCM of 314, 918, 194, 611, 648?
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 314, 918, 194, 611, 648.
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}.