LCM of 771, 748, 138, 419, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 748, 138, 419, 308 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 771, 748, 138, 419, 308. So, keep reading to learn more.
Given numbers are 771,748,138,419,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,748,138,419,308 is 38904144972.
Find LCM of 771,748,138,419,308 with Prime Factorization
| 2 | 771, 748, 138, 419, 308 |
| 2 | 771, 374, 69, 419, 154 |
| 3 | 771, 187, 69, 419, 77 |
| 11 | 257, 187, 23, 419, 77 |
| 257, 17, 23, 419, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 257 x 17 x 23 x 419 x 7 = 38904144972
Therefore, the lowest common multiple of 771,748,138,419,308 is 38904144972.
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.
771 x 748 x 138 x 419 x 308 = 10270694272608
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.
771 : 1, 3, 257, 771
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
138 : 1, 2, 3, 6, 23, 46, 69, 138
419 : 1, 419
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,748,138,419,308, is 1.
Now, the common factors can be found like this.
771:3x 257
748:2x 2x 11x 17
138:2x 3x 23
419:419
308:2x 2x 7x 11
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 10270694272608/(1x264)
LCM = 10270694272608/264
LCM = 38904144972
Thus, we can understand that the LCM of 771,748,138,419,308 is 38904144972.
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FAQs on LCM of 771, 748, 138, 419, 308
1. What is the LCM of 771, 748, 138, 419, 308?
Answer: LCM of 771, 748, 138, 419, 308 is 38904144972.
2. How to calculate the LCM of 771, 748, 138, 419, 308?
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 771, 748, 138, 419, 308.
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}.