LCM of 100, 902, 600, 937, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 100, 902, 600, 937, 558 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 100, 902, 600, 937, 558. So, keep reading to learn more.
Given numbers are 100,902,600,937,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,902,600,937,558 is 23580354600.
Find LCM of 100,902,600,937,558 with Prime Factorization
| 2 | 100, 902, 600, 937, 558 |
| 2 | 50, 451, 300, 937, 279 |
| 3 | 25, 451, 150, 937, 279 |
| 5 | 25, 451, 50, 937, 93 |
| 5 | 5, 451, 10, 937, 93 |
| 1, 451, 2, 937, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 1 x 451 x 2 x 937 x 93 = 23580354600
Therefore, the lowest common multiple of 100,902,600,937,558 is 23580354600.
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.
100 x 902 x 600 x 937 x 558 = 28296425520000
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
902 : 1, 2, 11, 22, 41, 82, 451, 902
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
937 : 1, 937
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,902,600,937,558, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
902:2x 11x 41
600:2x 2x 2x 3x 5x 5
937:937
558:2x 3x 3x 31
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 2x 2x 3x 5x 5 = 1200
Therefore, the value for common factors is 1200.
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 = 28296425520000/(1x1200)
LCM = 28296425520000/1200
LCM = 23580354600
Thus, we can understand that the LCM of 100,902,600,937,558 is 23580354600.
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FAQs on LCM of 100, 902, 600, 937, 558
1. What is the LCM of 100, 902, 600, 937, 558?
Answer: LCM of 100, 902, 600, 937, 558 is 23580354600.
2. How to calculate the LCM of 100, 902, 600, 937, 558?
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 100, 902, 600, 937, 558.
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}.