LCM of 740, 401, 360, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 401, 360, 208 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 740, 401, 360, 208. So, keep reading to learn more.
Given numbers are 740,401,360,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,401,360,208 is 138874320.
Find LCM of 740,401,360,208 with Prime Factorization
| 2 | 740, 401, 360, 208 |
| 2 | 370, 401, 180, 104 |
| 2 | 185, 401, 90, 52 |
| 5 | 185, 401, 45, 26 |
| 37, 401, 9, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 37 x 401 x 9 x 26 = 138874320
Therefore, the lowest common multiple of 740,401,360,208 is 138874320.
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.
740 x 401 x 360 x 208 = 22219891200
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
401 : 1, 401
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,401,360,208, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
401:401
360:2x 2x 2x 3x 3x 5
208:2x 2x 2x 2x 13
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 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 22219891200/(1x160)
LCM = 22219891200/160
LCM = 138874320
Thus, we can understand that the LCM of 740,401,360,208 is 138874320.
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FAQs on LCM of 740, 401, 360, 208
1. What is the LCM of 740, 401, 360, 208?
Answer: LCM of 740, 401, 360, 208 is 138874320.
2. How to calculate the LCM of 740, 401, 360, 208?
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 740, 401, 360, 208.
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}.