LCM of 743, 828, 240, 705, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 743, 828, 240, 705, 438 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, 828, 240, 705, 438. So, keep reading to learn more.
Given numbers are 743,828,240,705,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,828,240,705,438 is 42215298480.
Find LCM of 743,828,240,705,438 with Prime Factorization
| 2 | 743, 828, 240, 705, 438 |
| 2 | 743, 414, 120, 705, 219 |
| 3 | 743, 207, 60, 705, 219 |
| 5 | 743, 69, 20, 235, 73 |
| 743, 69, 4, 47, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 743 x 69 x 4 x 47 x 73 = 42215298480
Therefore, the lowest common multiple of 743,828,240,705,438 is 42215298480.
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 828 x 240 x 705 x 438 = 45592522358400
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
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
705 : 1, 3, 5, 15, 47, 141, 235, 705
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,828,240,705,438, is 1.
Now, the common factors can be found like this.
743:743
828:2x 2x 3x 3x 23
240:2x 2x 2x 2x 3x 5
705:3x 5x 47
438:2x 3x 73
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 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 45592522358400/(1x1080)
LCM = 45592522358400/1080
LCM = 42215298480
Thus, we can understand that the LCM of 743,828,240,705,438 is 42215298480.
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FAQs on LCM of 743, 828, 240, 705, 438
1. What is the LCM of 743, 828, 240, 705, 438?
Answer: LCM of 743, 828, 240, 705, 438 is 42215298480.
2. How to calculate the LCM of 743, 828, 240, 705, 438?
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, 828, 240, 705, 438.
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}.