LCM of 742, 152, 806, 133, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 152, 806, 133, 217 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 742, 152, 806, 133, 217. So, keep reading to learn more.
Given numbers are 742,152,806,133,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,152,806,133,217 is 22725976.
Find LCM of 742,152,806,133,217 with Prime Factorization
| 2 | 742, 152, 806, 133, 217 |
| 7 | 371, 76, 403, 133, 217 |
| 19 | 53, 76, 403, 19, 31 |
| 31 | 53, 4, 403, 1, 31 |
| 53, 4, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 31 x 53 x 4 x 13 x 1 x 1 = 22725976
Therefore, the lowest common multiple of 742,152,806,133,217 is 22725976.
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.
742 x 152 x 806 x 133 x 217 = 2623577573344
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
152 : 1, 2, 4, 8, 19, 38, 76, 152
806 : 1, 2, 13, 26, 31, 62, 403, 806
133 : 1, 7, 19, 133
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,152,806,133,217, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
152:2x 2x 2x 19
806:2x 13x 31
133:7x 19
217:7x 31
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 7x 7x 19x 31 = 115444
Therefore, the value for common factors is 115444.
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 = 2623577573344/(1x115444)
LCM = 2623577573344/115444
LCM = 22725976
Thus, we can understand that the LCM of 742,152,806,133,217 is 22725976.
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FAQs on LCM of 742, 152, 806, 133, 217
1. What is the LCM of 742, 152, 806, 133, 217?
Answer: LCM of 742, 152, 806, 133, 217 is 22725976.
2. How to calculate the LCM of 742, 152, 806, 133, 217?
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 742, 152, 806, 133, 217.
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}.