LCM of 353, 540, 374, 240, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 540, 374, 240, 223 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 353, 540, 374, 240, 223. So, keep reading to learn more.
Given numbers are 353,540,374,240,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,540,374,240,223 is 31796178480.
Find LCM of 353,540,374,240,223 with Prime Factorization
| 2 | 353, 540, 374, 240, 223 |
| 2 | 353, 270, 187, 120, 223 |
| 3 | 353, 135, 187, 60, 223 |
| 5 | 353, 45, 187, 20, 223 |
| 353, 9, 187, 4, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 353 x 9 x 187 x 4 x 223 = 31796178480
Therefore, the lowest common multiple of 353,540,374,240,223 is 31796178480.
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.
353 x 540 x 374 x 240 x 223 = 3815541417600
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.
353 : 1, 353
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
374 : 1, 2, 11, 17, 22, 34, 187, 374
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,540,374,240,223, is 1.
Now, the common factors can be found like this.
353:353
540:2x 2x 3x 3x 3x 5
374:2x 11x 17
240:2x 2x 2x 2x 3x 5
223:223
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 5 = 120
Therefore, the value for common factors is 120.
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 = 3815541417600/(1x120)
LCM = 3815541417600/120
LCM = 31796178480
Thus, we can understand that the LCM of 353,540,374,240,223 is 31796178480.
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FAQs on LCM of 353, 540, 374, 240, 223
1. What is the LCM of 353, 540, 374, 240, 223?
Answer: LCM of 353, 540, 374, 240, 223 is 31796178480.
2. How to calculate the LCM of 353, 540, 374, 240, 223?
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 353, 540, 374, 240, 223.
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}.