LCM of 526, 748, 902, 466, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 748, 902, 466, 228 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 526, 748, 902, 466, 228. So, keep reading to learn more.
Given numbers are 526,748,902,466,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,748,902,466,228 is 107120349204.
Find LCM of 526,748,902,466,228 with Prime Factorization
| 2 | 526, 748, 902, 466, 228 |
| 2 | 263, 374, 451, 233, 114 |
| 11 | 263, 187, 451, 233, 57 |
| 263, 17, 41, 233, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 263 x 17 x 41 x 233 x 57 = 107120349204
Therefore, the lowest common multiple of 526,748,902,466,228 is 107120349204.
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.
526 x 748 x 902 x 466 x 228 = 37706362919808
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.
526 : 1, 2, 263, 526
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
902 : 1, 2, 11, 22, 41, 82, 451, 902
466 : 1, 2, 233, 466
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,748,902,466,228, is 2.
Now, the common factors can be found like this.
526:2x 263
748:2x 2x 11x 17
902:2x 11x 41
466:2x 233
228:2x 2x 3x 19
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 11 = 176
Therefore, the value for common factors is 176.
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 = 37706362919808/(2x176)
LCM = 37706362919808/352
LCM = 107120349204
Thus, we can understand that the LCM of 526,748,902,466,228 is 107120349204.
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FAQs on LCM of 526, 748, 902, 466, 228
1. What is the LCM of 526, 748, 902, 466, 228?
Answer: LCM of 526, 748, 902, 466, 228 is 107120349204.
2. How to calculate the LCM of 526, 748, 902, 466, 228?
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 526, 748, 902, 466, 228.
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}.