LCM of 353, 559, 820, 989, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 559, 820, 989, 936 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 353, 559, 820, 989, 936. So, keep reading to learn more.
Given numbers are 353,559,820,989,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,559,820,989,936 is 66988569960.
Find LCM of 353,559,820,989,936 with Prime Factorization
| 2 | 353, 559, 820, 989, 936 |
| 2 | 353, 559, 410, 989, 468 |
| 13 | 353, 559, 205, 989, 234 |
| 43 | 353, 43, 205, 989, 18 |
| 353, 1, 205, 23, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 43 x 353 x 1 x 205 x 23 x 18 = 66988569960
Therefore, the lowest common multiple of 353,559,820,989,936 is 66988569960.
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.
353 x 559 x 820 x 989 x 936 = 149786442430560
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.
353 : 1, 353
559 : 1, 13, 43, 559
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
989 : 1, 23, 43, 989
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,559,820,989,936, is 1.
Now, the common factors can be found like this.
353:353
559:13x 43
820:2x 2x 5x 41
989:23x 43
936:2x 2x 2x 3x 3x 13
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 13x 43 = 2236
Therefore, the value for common factors is 2236.
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 = 149786442430560/(1x2236)
LCM = 149786442430560/2236
LCM = 66988569960
Thus, we can understand that the LCM of 353,559,820,989,936 is 66988569960.
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FAQs on LCM of 353, 559, 820, 989, 936
1. What is the LCM of 353, 559, 820, 989, 936?
Answer: LCM of 353, 559, 820, 989, 936 is 66988569960.
2. How to calculate the LCM of 353, 559, 820, 989, 936?
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 353, 559, 820, 989, 936.
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}.