LCM of 403, 937, 484, 209, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 937, 484, 209, 294 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, 937, 484, 209, 294. So, keep reading to learn more.
Given numbers are 403,937,484,209,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,937,484,209,294 is 510459081132.
Find LCM of 403,937,484,209,294 with Prime Factorization
| 2 | 403, 937, 484, 209, 294 |
| 11 | 403, 937, 242, 209, 147 |
| 403, 937, 22, 19, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 403 x 937 x 22 x 19 x 147 = 510459081132
Therefore, the lowest common multiple of 403,937,484,209,294 is 510459081132.
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 937 x 484 x 209 x 294 = 11230099784904
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
937 : 1, 937
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
209 : 1, 11, 19, 209
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,937,484,209,294, is 1.
Now, the common factors can be found like this.
403:13x 31
937:937
484:2x 2x 11x 11
209:11x 19
294:2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 11230099784904/(1x22)
LCM = 11230099784904/22
LCM = 510459081132
Thus, we can understand that the LCM of 403,937,484,209,294 is 510459081132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 403, 937, 484, 209, 294
1. What is the LCM of 403, 937, 484, 209, 294?
Answer: LCM of 403, 937, 484, 209, 294 is 510459081132.
2. How to calculate the LCM of 403, 937, 484, 209, 294?
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, 937, 484, 209, 294.
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}.