LCM of 314, 378, 457, 504, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 378, 457, 504, 572 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, 378, 457, 504, 572. So, keep reading to learn more.
Given numbers are 314,378,457,504,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,378,457,504,572 is 15513281784.
Find LCM of 314,378,457,504,572 with Prime Factorization
| 2 | 314, 378, 457, 504, 572 |
| 2 | 157, 189, 457, 252, 286 |
| 3 | 157, 189, 457, 126, 143 |
| 3 | 157, 63, 457, 42, 143 |
| 7 | 157, 21, 457, 14, 143 |
| 157, 3, 457, 2, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 157 x 3 x 457 x 2 x 143 = 15513281784
Therefore, the lowest common multiple of 314,378,457,504,572 is 15513281784.
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 378 x 457 x 504 x 572 = 15637388038272
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
457 : 1, 457
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,378,457,504,572, is 1.
Now, the common factors can be found like this.
314:2x 157
378:2x 3x 3x 3x 7
457:457
504:2x 2x 2x 3x 3x 7
572:2x 2x 11x 13
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 15637388038272/(1x1008)
LCM = 15637388038272/1008
LCM = 15513281784
Thus, we can understand that the LCM of 314,378,457,504,572 is 15513281784.
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FAQs on LCM of 314, 378, 457, 504, 572
1. What is the LCM of 314, 378, 457, 504, 572?
Answer: LCM of 314, 378, 457, 504, 572 is 15513281784.
2. How to calculate the LCM of 314, 378, 457, 504, 572?
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, 378, 457, 504, 572.
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}.