LCM of 298, 522, 377, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 522, 377, 319 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 298, 522, 377, 319. So, keep reading to learn more.
Given numbers are 298,522,377,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,522,377,319 is 11122254.
Find LCM of 298,522,377,319 with Prime Factorization
| 2 | 298, 522, 377, 319 |
| 29 | 149, 261, 377, 319 |
| 149, 9, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 149 x 9 x 13 x 11 = 11122254
Therefore, the lowest common multiple of 298,522,377,319 is 11122254.
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.
298 x 522 x 377 x 319 = 18707631228
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.
298 : 1, 2, 149, 298
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
377 : 1, 13, 29, 377
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,522,377,319, is 1.
Now, the common factors can be found like this.
298:2x 149
522:2x 3x 3x 29
377:13x 29
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29x 29 = 1682
Therefore, the value for common factors is 1682.
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 = 18707631228/(1x1682)
LCM = 18707631228/1682
LCM = 11122254
Thus, we can understand that the LCM of 298,522,377,319 is 11122254.
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FAQs on LCM of 298, 522, 377, 319
1. What is the LCM of 298, 522, 377, 319?
Answer: LCM of 298, 522, 377, 319 is 11122254.
2. How to calculate the LCM of 298, 522, 377, 319?
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 298, 522, 377, 319.
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}.