LCM of 314, 441, 237, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 441, 237, 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 314, 441, 237, 337. So, keep reading to learn more.
Given numbers are 314,441,237,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,441,237,337 is 3686593302.
Find LCM of 314,441,237,337 with Prime Factorization
| 3 | 314, 441, 237, 337 |
| 314, 147, 79, 337 |
Multiply the prime numbers at the bottom and the left side.
3 x 314 x 147 x 79 x 337 = 3686593302
Therefore, the lowest common multiple of 314,441,237,337 is 3686593302.
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.
314 x 441 x 237 x 337 = 11059779906
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.
314 : 1, 2, 157, 314
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
237 : 1, 3, 79, 237
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,441,237,337, is 1.
Now, the common factors can be found like this.
314:2x 157
441:3x 3x 7x 7
237:3x 79
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 11059779906/(1x3)
LCM = 11059779906/3
LCM = 3686593302
Thus, we can understand that the LCM of 314,441,237,337 is 3686593302.
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FAQs on LCM of 314, 441, 237, 337
1. What is the LCM of 314, 441, 237, 337?
Answer: LCM of 314, 441, 237, 337 is 3686593302.
2. How to calculate the LCM of 314, 441, 237, 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 314, 441, 237, 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}.