LCM of 298, 894, 360, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 894, 360, 916 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, 894, 360, 916. So, keep reading to learn more.
Given numbers are 298,894,360,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,894,360,916 is 12283560.
Find LCM of 298,894,360,916 with Prime Factorization
| 2 | 298, 894, 360, 916 |
| 2 | 149, 447, 180, 458 |
| 3 | 149, 447, 90, 229 |
| 149 | 149, 149, 30, 229 |
| 1, 1, 30, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 149 x 1 x 1 x 30 x 229 = 12283560
Therefore, the lowest common multiple of 298,894,360,916 is 12283560.
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 894 x 360 x 916 = 87852021120
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
894 : 1, 2, 3, 6, 149, 298, 447, 894
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
916 : 1, 2, 4, 229, 458, 916
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,894,360,916, is 2.
Now, the common factors can be found like this.
298:2x 149
894:2x 3x 149
360:2x 2x 2x 3x 3x 5
916:2x 2x 229
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 3x 149 = 3576
Therefore, the value for common factors is 3576.
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 = 87852021120/(2x3576)
LCM = 87852021120/7152
LCM = 12283560
Thus, we can understand that the LCM of 298,894,360,916 is 12283560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 894, 360, 916
1. What is the LCM of 298, 894, 360, 916?
Answer: LCM of 298, 894, 360, 916 is 12283560.
2. How to calculate the LCM of 298, 894, 360, 916?
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, 894, 360, 916.
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}.