LCM of 908, 150, 393, 958, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 908, 150, 393, 958, 681 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 908, 150, 393, 958, 681. So, keep reading to learn more.
Given numbers are 908,150,393,958,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,150,393,958,681 is 4273206900.
Find LCM of 908,150,393,958,681 with Prime Factorization
| 2 | 908, 150, 393, 958, 681 |
| 3 | 454, 75, 393, 479, 681 |
| 227 | 454, 25, 131, 479, 227 |
| 2, 25, 131, 479, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 2 x 25 x 131 x 479 x 1 = 4273206900
Therefore, the lowest common multiple of 908,150,393,958,681 is 4273206900.
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.
908 x 150 x 393 x 958 x 681 = 34920646786800
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.
908 : 1, 2, 4, 227, 454, 908
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
393 : 1, 3, 131, 393
958 : 1, 2, 479, 958
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,150,393,958,681, is 1.
Now, the common factors can be found like this.
908:2x 2x 227
150:2x 3x 5x 5
393:3x 131
958:2x 479
681:3x 227
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 3x 3x 227 = 8172
Therefore, the value for common factors is 8172.
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 = 34920646786800/(1x8172)
LCM = 34920646786800/8172
LCM = 4273206900
Thus, we can understand that the LCM of 908,150,393,958,681 is 4273206900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 908, 150, 393, 958, 681
1. What is the LCM of 908, 150, 393, 958, 681?
Answer: LCM of 908, 150, 393, 958, 681 is 4273206900.
2. How to calculate the LCM of 908, 150, 393, 958, 681?
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 908, 150, 393, 958, 681.
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}.