LCM of 264, 403, 426, 945, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 403, 426, 945, 337 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 264, 403, 426, 945, 337. So, keep reading to learn more.
Given numbers are 264,403,426,945,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,403,426,945,337 is 801877035960.
Find LCM of 264,403,426,945,337 with Prime Factorization
| 2 | 264, 403, 426, 945, 337 |
| 3 | 132, 403, 213, 945, 337 |
| 44, 403, 71, 315, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 44 x 403 x 71 x 315 x 337 = 801877035960
Therefore, the lowest common multiple of 264,403,426,945,337 is 801877035960.
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.
264 x 403 x 426 x 945 x 337 = 14433786647280
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
403 : 1, 13, 31, 403
426 : 1, 2, 3, 6, 71, 142, 213, 426
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,403,426,945,337, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
403:13x 31
426:2x 3x 71
945:3x 3x 3x 5x 7
337:337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 14433786647280/(1x18)
LCM = 14433786647280/18
LCM = 801877035960
Thus, we can understand that the LCM of 264,403,426,945,337 is 801877035960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 264, 403, 426, 945, 337
1. What is the LCM of 264, 403, 426, 945, 337?
Answer: LCM of 264, 403, 426, 945, 337 is 801877035960.
2. How to calculate the LCM of 264, 403, 426, 945, 337?
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 264, 403, 426, 945, 337.
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}.