LCM of 696, 241, 905, 493, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 241, 905, 493, 748 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 696, 241, 905, 493, 748. So, keep reading to learn more.
Given numbers are 696,241,905,493,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,241,905,493,748 is 28386801960.
Find LCM of 696,241,905,493,748 with Prime Factorization
| 2 | 696, 241, 905, 493, 748 |
| 2 | 348, 241, 905, 493, 374 |
| 17 | 174, 241, 905, 493, 187 |
| 29 | 174, 241, 905, 29, 11 |
| 6, 241, 905, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 29 x 6 x 241 x 905 x 1 x 11 = 28386801960
Therefore, the lowest common multiple of 696,241,905,493,748 is 28386801960.
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.
696 x 241 x 905 x 493 x 748 = 55978773465120
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
241 : 1, 241
905 : 1, 5, 181, 905
493 : 1, 17, 29, 493
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,241,905,493,748, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
241:241
905:5x 181
493:17x 29
748:2x 2x 11x 17
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 17x 29 = 1972
Therefore, the value for common factors is 1972.
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 = 55978773465120/(1x1972)
LCM = 55978773465120/1972
LCM = 28386801960
Thus, we can understand that the LCM of 696,241,905,493,748 is 28386801960.
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FAQs on LCM of 696, 241, 905, 493, 748
1. What is the LCM of 696, 241, 905, 493, 748?
Answer: LCM of 696, 241, 905, 493, 748 is 28386801960.
2. How to calculate the LCM of 696, 241, 905, 493, 748?
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 696, 241, 905, 493, 748.
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}.