LCM of 921, 108, 500, 179, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 108, 500, 179, 351 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 921, 108, 500, 179, 351. So, keep reading to learn more.
Given numbers are 921,108,500,179,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,108,500,179,351 is 9644251500.
Find LCM of 921,108,500,179,351 with Prime Factorization
| 2 | 921, 108, 500, 179, 351 |
| 2 | 921, 54, 250, 179, 351 |
| 3 | 921, 27, 125, 179, 351 |
| 3 | 307, 9, 125, 179, 117 |
| 3 | 307, 3, 125, 179, 39 |
| 307, 1, 125, 179, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 307 x 1 x 125 x 179 x 13 = 9644251500
Therefore, the lowest common multiple of 921,108,500,179,351 is 9644251500.
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.
921 x 108 x 500 x 179 x 351 = 3124737486000
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.
921 : 1, 3, 307, 921
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
179 : 1, 179
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,108,500,179,351, is 1.
Now, the common factors can be found like this.
921:3x 307
108:2x 2x 3x 3x 3
500:2x 2x 5x 5x 5
179:179
351:3x 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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 3124737486000/(1x324)
LCM = 3124737486000/324
LCM = 9644251500
Thus, we can understand that the LCM of 921,108,500,179,351 is 9644251500.
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FAQs on LCM of 921, 108, 500, 179, 351
1. What is the LCM of 921, 108, 500, 179, 351?
Answer: LCM of 921, 108, 500, 179, 351 is 9644251500.
2. How to calculate the LCM of 921, 108, 500, 179, 351?
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 921, 108, 500, 179, 351.
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}.