LCM of 315, 453, 909, 558, 641
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 453, 909, 558, 641 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 315, 453, 909, 558, 641. So, keep reading to learn more.
Given numbers are 315,453,909,558,641
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,453,909,558,641 is 190923151230.
Find LCM of 315,453,909,558,641 with Prime Factorization
| 3 | 315, 453, 909, 558, 641 |
| 3 | 105, 151, 303, 186, 641 |
| 35, 151, 101, 62, 641 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 35 x 151 x 101 x 62 x 641 = 190923151230
Therefore, the lowest common multiple of 315,453,909,558,641 is 190923151230.
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.
315 x 453 x 909 x 558 x 641 = 46394325748890
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
453 : 1, 3, 151, 453
909 : 1, 3, 9, 101, 303, 909
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
641 : 1, 641
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,453,909,558,641, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
453:3x 151
909:3x 3x 101
558:2x 3x 3x 31
641:641
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 46394325748890/(1x243)
LCM = 46394325748890/243
LCM = 190923151230
Thus, we can understand that the LCM of 315,453,909,558,641 is 190923151230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 453, 909, 558, 641
1. What is the LCM of 315, 453, 909, 558, 641?
Answer: LCM of 315, 453, 909, 558, 641 is 190923151230.
2. How to calculate the LCM of 315, 453, 909, 558, 641?
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 315, 453, 909, 558, 641.
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}.