LCM of 724, 749, 608, 238, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 749, 608, 238, 493 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 724, 749, 608, 238, 493. So, keep reading to learn more.
Given numbers are 724,749,608,238,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,749,608,238,493 is 40635994336.
Find LCM of 724,749,608,238,493 with Prime Factorization
| 2 | 724, 749, 608, 238, 493 |
| 2 | 362, 749, 304, 119, 493 |
| 7 | 181, 749, 152, 119, 493 |
| 17 | 181, 107, 152, 17, 493 |
| 181, 107, 152, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 181 x 107 x 152 x 1 x 29 = 40635994336
Therefore, the lowest common multiple of 724,749,608,238,493 is 40635994336.
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.
724 x 749 x 608 x 238 x 493 = 38685466607872
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.
724 : 1, 2, 4, 181, 362, 724
749 : 1, 7, 107, 749
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
238 : 1, 2, 7, 14, 17, 34, 119, 238
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,749,608,238,493, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
749:7x 107
608:2x 2x 2x 2x 2x 19
238:2x 7x 17
493:17x 29
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 7x 17 = 952
Therefore, the value for common factors is 952.
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 = 38685466607872/(1x952)
LCM = 38685466607872/952
LCM = 40635994336
Thus, we can understand that the LCM of 724,749,608,238,493 is 40635994336.
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FAQs on LCM of 724, 749, 608, 238, 493
1. What is the LCM of 724, 749, 608, 238, 493?
Answer: LCM of 724, 749, 608, 238, 493 is 40635994336.
2. How to calculate the LCM of 724, 749, 608, 238, 493?
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 724, 749, 608, 238, 493.
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}.