LCM of 416, 314, 520, 821, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 314, 520, 821, 945 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 416, 314, 520, 821, 945. So, keep reading to learn more.
Given numbers are 416,314,520,821,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,314,520,821,945 is 50671988640.
Find LCM of 416,314,520,821,945 with Prime Factorization
| 2 | 416, 314, 520, 821, 945 |
| 2 | 208, 157, 260, 821, 945 |
| 2 | 104, 157, 130, 821, 945 |
| 5 | 52, 157, 65, 821, 945 |
| 13 | 52, 157, 13, 821, 189 |
| 4, 157, 1, 821, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 4 x 157 x 1 x 821 x 189 = 50671988640
Therefore, the lowest common multiple of 416,314,520,821,945 is 50671988640.
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.
416 x 314 x 520 x 821 x 945 = 52698868185600
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
314 : 1, 2, 157, 314
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
821 : 1, 821
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,314,520,821,945, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
314:2x 157
520:2x 2x 2x 5x 13
821:821
945:3x 3x 3x 5x 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 2x 2x 2x 5x 13 = 1040
Therefore, the value for common factors is 1040.
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 = 52698868185600/(1x1040)
LCM = 52698868185600/1040
LCM = 50671988640
Thus, we can understand that the LCM of 416,314,520,821,945 is 50671988640.
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FAQs on LCM of 416, 314, 520, 821, 945
1. What is the LCM of 416, 314, 520, 821, 945?
Answer: LCM of 416, 314, 520, 821, 945 is 50671988640.
2. How to calculate the LCM of 416, 314, 520, 821, 945?
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 416, 314, 520, 821, 945.
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}.