LCM of 553, 654, 939, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 654, 939, 109 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 553, 654, 939, 109. So, keep reading to learn more.
Given numbers are 553,654,939,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,654,939,109 is 113200206.
Find LCM of 553,654,939,109 with Prime Factorization
| 3 | 553, 654, 939, 109 |
| 109 | 553, 218, 313, 109 |
| 553, 2, 313, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 109 x 553 x 2 x 313 x 1 = 113200206
Therefore, the lowest common multiple of 553,654,939,109 is 113200206.
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.
553 x 654 x 939 x 109 = 37016467362
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.
553 : 1, 7, 79, 553
654 : 1, 2, 3, 6, 109, 218, 327, 654
939 : 1, 3, 313, 939
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,654,939,109, is 1.
Now, the common factors can be found like this.
553:7x 79
654:2x 3x 109
939:3x 313
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 109 = 327
Therefore, the value for common factors is 327.
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 = 37016467362/(1x327)
LCM = 37016467362/327
LCM = 113200206
Thus, we can understand that the LCM of 553,654,939,109 is 113200206.
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FAQs on LCM of 553, 654, 939, 109
1. What is the LCM of 553, 654, 939, 109?
Answer: LCM of 553, 654, 939, 109 is 113200206.
2. How to calculate the LCM of 553, 654, 939, 109?
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 553, 654, 939, 109.
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}.