LCM of 476, 507, 904, 574, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 507, 904, 574, 972 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 476, 507, 904, 574, 972. So, keep reading to learn more.
Given numbers are 476,507,904,574,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,507,904,574,972 is 181130767272.
Find LCM of 476,507,904,574,972 with Prime Factorization
| 2 | 476, 507, 904, 574, 972 |
| 2 | 238, 507, 452, 287, 486 |
| 3 | 119, 507, 226, 287, 243 |
| 7 | 119, 169, 226, 287, 81 |
| 17, 169, 226, 41, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 169 x 226 x 41 x 81 = 181130767272
Therefore, the lowest common multiple of 476,507,904,574,972 is 181130767272.
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.
476 x 507 x 904 x 574 x 972 = 121719875606784
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
507 : 1, 3, 13, 39, 169, 507
904 : 1, 2, 4, 8, 113, 226, 452, 904
574 : 1, 2, 7, 14, 41, 82, 287, 574
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,507,904,574,972, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
507:3x 13x 13
904:2x 2x 2x 113
574:2x 7x 41
972:2x 2x 3x 3x 3x 3x 3
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 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 121719875606784/(1x672)
LCM = 121719875606784/672
LCM = 181130767272
Thus, we can understand that the LCM of 476,507,904,574,972 is 181130767272.
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FAQs on LCM of 476, 507, 904, 574, 972
1. What is the LCM of 476, 507, 904, 574, 972?
Answer: LCM of 476, 507, 904, 574, 972 is 181130767272.
2. How to calculate the LCM of 476, 507, 904, 574, 972?
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 476, 507, 904, 574, 972.
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}.