LCM of 743, 705, 504, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 705, 504, 144 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 743, 705, 504, 144. So, keep reading to learn more.
Given numbers are 743,705,504,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,705,504,144 is 176001840.
Find LCM of 743,705,504,144 with Prime Factorization
| 2 | 743, 705, 504, 144 |
| 2 | 743, 705, 252, 72 |
| 2 | 743, 705, 126, 36 |
| 3 | 743, 705, 63, 18 |
| 3 | 743, 235, 21, 6 |
| 743, 235, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 743 x 235 x 7 x 2 = 176001840
Therefore, the lowest common multiple of 743,705,504,144 is 176001840.
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.
743 x 705 x 504 x 144 = 38016397440
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.
743 : 1, 743
705 : 1, 3, 5, 15, 47, 141, 235, 705
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,705,504,144, is 1.
Now, the common factors can be found like this.
743:743
705:3x 5x 47
504:2x 2x 2x 3x 3x 7
144:2x 2x 2x 2x 3x 3
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 38016397440/(1x216)
LCM = 38016397440/216
LCM = 176001840
Thus, we can understand that the LCM of 743,705,504,144 is 176001840.
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FAQs on LCM of 743, 705, 504, 144
1. What is the LCM of 743, 705, 504, 144?
Answer: LCM of 743, 705, 504, 144 is 176001840.
2. How to calculate the LCM of 743, 705, 504, 144?
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 743, 705, 504, 144.
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}.