LCM of 355, 153, 494, 685, 293
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 153, 494, 685, 293 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 355, 153, 494, 685, 293. So, keep reading to learn more.
Given numbers are 355,153,494,685,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,153,494,685,293 is 1077047657010.
Find LCM of 355,153,494,685,293 with Prime Factorization
| 5 | 355, 153, 494, 685, 293 |
| 71, 153, 494, 137, 293 |
Multiply the prime numbers at the bottom and the left side.
5 x 71 x 153 x 494 x 137 x 293 = 1077047657010
Therefore, the lowest common multiple of 355,153,494,685,293 is 1077047657010.
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.
355 x 153 x 494 x 685 x 293 = 5385238285050
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.
355 : 1, 5, 71, 355
153 : 1, 3, 9, 17, 51, 153
494 : 1, 2, 13, 19, 26, 38, 247, 494
685 : 1, 5, 137, 685
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,153,494,685,293, is 1.
Now, the common factors can be found like this.
355:5x 71
153:3x 3x 17
494:2x 13x 19
685:5x 137
293:293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 5385238285050/(1x5)
LCM = 5385238285050/5
LCM = 1077047657010
Thus, we can understand that the LCM of 355,153,494,685,293 is 1077047657010.
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FAQs on LCM of 355, 153, 494, 685, 293
1. What is the LCM of 355, 153, 494, 685, 293?
Answer: LCM of 355, 153, 494, 685, 293 is 1077047657010.
2. How to calculate the LCM of 355, 153, 494, 685, 293?
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 355, 153, 494, 685, 293.
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}.