LCM of 893, 144, 400, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 144, 400, 314 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 893, 144, 400, 314. So, keep reading to learn more.
Given numbers are 893,144,400,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,144,400,314 is 504723600.
Find LCM of 893,144,400,314 with Prime Factorization
| 2 | 893, 144, 400, 314 |
| 2 | 893, 72, 200, 157 |
| 2 | 893, 36, 100, 157 |
| 2 | 893, 18, 50, 157 |
| 893, 9, 25, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 893 x 9 x 25 x 157 = 504723600
Therefore, the lowest common multiple of 893,144,400,314 is 504723600.
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.
893 x 144 x 400 x 314 = 16151155200
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.
893 : 1, 19, 47, 893
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,144,400,314, is 1.
Now, the common factors can be found like this.
893:19x 47
144:2x 2x 2x 2x 3x 3
400:2x 2x 2x 2x 5x 5
314:2x 157
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 16151155200/(1x32)
LCM = 16151155200/32
LCM = 504723600
Thus, we can understand that the LCM of 893,144,400,314 is 504723600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 893, 144, 400, 314
1. What is the LCM of 893, 144, 400, 314?
Answer: LCM of 893, 144, 400, 314 is 504723600.
2. How to calculate the LCM of 893, 144, 400, 314?
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 893, 144, 400, 314.
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}.