LCM of 254, 635, 558, 495, 941
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 635, 558, 495, 941 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 254, 635, 558, 495, 941. So, keep reading to learn more.
Given numbers are 254,635,558,495,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,635,558,495,941 is 3667669830.
Find LCM of 254,635,558,495,941 with Prime Factorization
| 2 | 254, 635, 558, 495, 941 |
| 3 | 127, 635, 279, 495, 941 |
| 3 | 127, 635, 93, 165, 941 |
| 5 | 127, 635, 31, 55, 941 |
| 127 | 127, 127, 31, 11, 941 |
| 1, 1, 31, 11, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 127 x 1 x 1 x 31 x 11 x 941 = 3667669830
Therefore, the lowest common multiple of 254,635,558,495,941 is 3667669830.
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.
254 x 635 x 558 x 495 x 941 = 41921466156900
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.
254 : 1, 2, 127, 254
635 : 1, 5, 127, 635
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,635,558,495,941, is 1.
Now, the common factors can be found like this.
254:2x 127
635:5x 127
558:2x 3x 3x 31
495:3x 3x 5x 11
941:941
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 127 = 11430
Therefore, the value for common factors is 11430.
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 = 41921466156900/(1x11430)
LCM = 41921466156900/11430
LCM = 3667669830
Thus, we can understand that the LCM of 254,635,558,495,941 is 3667669830.
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FAQs on LCM of 254, 635, 558, 495, 941
1. What is the LCM of 254, 635, 558, 495, 941?
Answer: LCM of 254, 635, 558, 495, 941 is 3667669830.
2. How to calculate the LCM of 254, 635, 558, 495, 941?
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 254, 635, 558, 495, 941.
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}.