LCM of 403, 207, 144, 440, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 207, 144, 440, 274 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 403, 207, 144, 440, 274. So, keep reading to learn more.
Given numbers are 403,207,144,440,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,207,144,440,274 is 10057235760.
Find LCM of 403,207,144,440,274 with Prime Factorization
| 2 | 403, 207, 144, 440, 274 |
| 2 | 403, 207, 72, 220, 137 |
| 2 | 403, 207, 36, 110, 137 |
| 3 | 403, 207, 18, 55, 137 |
| 3 | 403, 69, 6, 55, 137 |
| 403, 23, 2, 55, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 403 x 23 x 2 x 55 x 137 = 10057235760
Therefore, the lowest common multiple of 403,207,144,440,274 is 10057235760.
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.
403 x 207 x 144 x 440 x 274 = 1448241949440
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.
403 : 1, 13, 31, 403
207 : 1, 3, 9, 23, 69, 207
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,207,144,440,274, is 1.
Now, the common factors can be found like this.
403:13x 31
207:3x 3x 23
144:2x 2x 2x 2x 3x 3
440:2x 2x 2x 5x 11
274:2x 137
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 1448241949440/(1x144)
LCM = 1448241949440/144
LCM = 10057235760
Thus, we can understand that the LCM of 403,207,144,440,274 is 10057235760.
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FAQs on LCM of 403, 207, 144, 440, 274
1. What is the LCM of 403, 207, 144, 440, 274?
Answer: LCM of 403, 207, 144, 440, 274 is 10057235760.
2. How to calculate the LCM of 403, 207, 144, 440, 274?
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 403, 207, 144, 440, 274.
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}.