LCM of 721, 308, 492, 197, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 308, 492, 197, 536 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 721, 308, 492, 197, 536. So, keep reading to learn more.
Given numbers are 721,308,492,197,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,308,492,197,536 is 103006368696.
Find LCM of 721,308,492,197,536 with Prime Factorization
| 2 | 721, 308, 492, 197, 536 |
| 2 | 721, 154, 246, 197, 268 |
| 7 | 721, 77, 123, 197, 134 |
| 103, 11, 123, 197, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 103 x 11 x 123 x 197 x 134 = 103006368696
Therefore, the lowest common multiple of 721,308,492,197,536 is 103006368696.
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.
721 x 308 x 492 x 197 x 536 = 11536713293952
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.
721 : 1, 7, 103, 721
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
197 : 1, 197
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,308,492,197,536, is 1.
Now, the common factors can be found like this.
721:7x 103
308:2x 2x 7x 11
492:2x 2x 3x 41
197:197
536:2x 2x 2x 67
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 7 = 112
Therefore, the value for common factors is 112.
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 = 11536713293952/(1x112)
LCM = 11536713293952/112
LCM = 103006368696
Thus, we can understand that the LCM of 721,308,492,197,536 is 103006368696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 308, 492, 197, 536
1. What is the LCM of 721, 308, 492, 197, 536?
Answer: LCM of 721, 308, 492, 197, 536 is 103006368696.
2. How to calculate the LCM of 721, 308, 492, 197, 536?
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 721, 308, 492, 197, 536.
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}.