LCM of 893, 705, 208, 242, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 705, 208, 242, 310 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 893, 705, 208, 242, 310. So, keep reading to learn more.
Given numbers are 893,705,208,242,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,705,208,242,310 is 10450886160.
Find LCM of 893,705,208,242,310 with Prime Factorization
| 2 | 893, 705, 208, 242, 310 |
| 5 | 893, 705, 104, 121, 155 |
| 47 | 893, 141, 104, 121, 31 |
| 19, 3, 104, 121, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 19 x 3 x 104 x 121 x 31 = 10450886160
Therefore, the lowest common multiple of 893,705,208,242,310 is 10450886160.
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.
893 x 705 x 208 x 242 x 310 = 9823832990400
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.
893 : 1, 19, 47, 893
705 : 1, 3, 5, 15, 47, 141, 235, 705
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
242 : 1, 2, 11, 22, 121, 242
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,705,208,242,310, is 1.
Now, the common factors can be found like this.
893:19x 47
705:3x 5x 47
208:2x 2x 2x 2x 13
242:2x 11x 11
310:2x 5x 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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 9823832990400/(1x940)
LCM = 9823832990400/940
LCM = 10450886160
Thus, we can understand that the LCM of 893,705,208,242,310 is 10450886160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 893, 705, 208, 242, 310
1. What is the LCM of 893, 705, 208, 242, 310?
Answer: LCM of 893, 705, 208, 242, 310 is 10450886160.
2. How to calculate the LCM of 893, 705, 208, 242, 310?
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 893, 705, 208, 242, 310.
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}.