LCM of 504, 746, 229, 656, 694
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 746, 229, 656, 694 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 504, 746, 229, 656, 694. So, keep reading to learn more.
Given numbers are 504,746,229,656,694
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,746,229,656,694 is 1224949480272.
Find LCM of 504,746,229,656,694 with Prime Factorization
| 2 | 504, 746, 229, 656, 694 |
| 2 | 252, 373, 229, 328, 347 |
| 2 | 126, 373, 229, 164, 347 |
| 63, 373, 229, 82, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 63 x 373 x 229 x 82 x 347 = 1224949480272
Therefore, the lowest common multiple of 504,746,229,656,694 is 1224949480272.
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.
504 x 746 x 229 x 656 x 694 = 39198383368704
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.
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
746 : 1, 2, 373, 746
229 : 1, 229
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
694 : 1, 2, 347, 694
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,746,229,656,694, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
746:2x 373
229:229
656:2x 2x 2x 2x 41
694:2x 347
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 = 39198383368704/(1x32)
LCM = 39198383368704/32
LCM = 1224949480272
Thus, we can understand that the LCM of 504,746,229,656,694 is 1224949480272.
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FAQs on LCM of 504, 746, 229, 656, 694
1. What is the LCM of 504, 746, 229, 656, 694?
Answer: LCM of 504, 746, 229, 656, 694 is 1224949480272.
2. How to calculate the LCM of 504, 746, 229, 656, 694?
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 504, 746, 229, 656, 694.
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}.