LCM of 310, 223, 868, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 223, 868, 304 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 310, 223, 868, 304. So, keep reading to learn more.
Given numbers are 310,223,868,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,223,868,304 is 73554320.
Find LCM of 310,223,868,304 with Prime Factorization
| 2 | 310, 223, 868, 304 |
| 2 | 155, 223, 434, 152 |
| 31 | 155, 223, 217, 76 |
| 5, 223, 7, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 5 x 223 x 7 x 76 = 73554320
Therefore, the lowest common multiple of 310,223,868,304 is 73554320.
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.
310 x 223 x 868 x 304 = 18241471360
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
223 : 1, 223
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,223,868,304, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
223:223
868:2x 2x 7x 31
304:2x 2x 2x 2x 19
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 31 = 248
Therefore, the value for common factors is 248.
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 = 18241471360/(1x248)
LCM = 18241471360/248
LCM = 73554320
Thus, we can understand that the LCM of 310,223,868,304 is 73554320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 223, 868, 304
1. What is the LCM of 310, 223, 868, 304?
Answer: LCM of 310, 223, 868, 304 is 73554320.
2. How to calculate the LCM of 310, 223, 868, 304?
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 310, 223, 868, 304.
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}.