LCM of 480, 698, 654, 417, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 698, 654, 417, 743 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 480, 698, 654, 417, 743. So, keep reading to learn more.
Given numbers are 480,698,654,417,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,698,654,417,743 is 1885804971360.
Find LCM of 480,698,654,417,743 with Prime Factorization
| 2 | 480, 698, 654, 417, 743 |
| 3 | 240, 349, 327, 417, 743 |
| 80, 349, 109, 139, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 80 x 349 x 109 x 139 x 743 = 1885804971360
Therefore, the lowest common multiple of 480,698,654,417,743 is 1885804971360.
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.
480 x 698 x 654 x 417 x 743 = 67888978968960
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
698 : 1, 2, 349, 698
654 : 1, 2, 3, 6, 109, 218, 327, 654
417 : 1, 3, 139, 417
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,698,654,417,743, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
698:2x 349
654:2x 3x 109
417:3x 139
743:743
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 67888978968960/(1x36)
LCM = 67888978968960/36
LCM = 1885804971360
Thus, we can understand that the LCM of 480,698,654,417,743 is 1885804971360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 480, 698, 654, 417, 743
1. What is the LCM of 480, 698, 654, 417, 743?
Answer: LCM of 480, 698, 654, 417, 743 is 1885804971360.
2. How to calculate the LCM of 480, 698, 654, 417, 743?
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 480, 698, 654, 417, 743.
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}.