LCM of 230, 310, 637, 112, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 310, 637, 112, 735 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 230, 310, 637, 112, 735. So, keep reading to learn more.
Given numbers are 230,310,637,112,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,310,637,112,735 is 109003440.
Find LCM of 230,310,637,112,735 with Prime Factorization
| 2 | 230, 310, 637, 112, 735 |
| 5 | 115, 155, 637, 56, 735 |
| 7 | 23, 31, 637, 56, 147 |
| 7 | 23, 31, 91, 8, 21 |
| 23, 31, 13, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 23 x 31 x 13 x 8 x 3 = 109003440
Therefore, the lowest common multiple of 230,310,637,112,735 is 109003440.
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.
230 x 310 x 637 x 112 x 735 = 3738817992000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
310 : 1, 2, 5, 10, 31, 62, 155, 310
637 : 1, 7, 13, 49, 91, 637
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,310,637,112,735, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
310:2x 5x 31
637:7x 7x 13
112:2x 2x 2x 2x 7
735:3x 5x 7x 7
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 5x 7x 7x 7 = 34300
Therefore, the value for common factors is 34300.
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 = 3738817992000/(1x34300)
LCM = 3738817992000/34300
LCM = 109003440
Thus, we can understand that the LCM of 230,310,637,112,735 is 109003440.
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FAQs on LCM of 230, 310, 637, 112, 735
1. What is the LCM of 230, 310, 637, 112, 735?
Answer: LCM of 230, 310, 637, 112, 735 is 109003440.
2. How to calculate the LCM of 230, 310, 637, 112, 735?
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 230, 310, 637, 112, 735.
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}.