LCM of 497, 758, 749, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 758, 749, 214 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 497, 758, 749, 214. So, keep reading to learn more.
Given numbers are 497,758,749,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,758,749,214 is 40309682.
Find LCM of 497,758,749,214 with Prime Factorization
| 2 | 497, 758, 749, 214 |
| 7 | 497, 379, 749, 107 |
| 107 | 71, 379, 107, 107 |
| 71, 379, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 107 x 71 x 379 x 1 x 1 = 40309682
Therefore, the lowest common multiple of 497,758,749,214 is 40309682.
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.
497 x 758 x 749 x 214 = 60383903636
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.
497 : 1, 7, 71, 497
758 : 1, 2, 379, 758
749 : 1, 7, 107, 749
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,758,749,214, is 1.
Now, the common factors can be found like this.
497:7x 71
758:2x 379
749:7x 107
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 107 = 1498
Therefore, the value for common factors is 1498.
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 = 60383903636/(1x1498)
LCM = 60383903636/1498
LCM = 40309682
Thus, we can understand that the LCM of 497,758,749,214 is 40309682.
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FAQs on LCM of 497, 758, 749, 214
1. What is the LCM of 497, 758, 749, 214?
Answer: LCM of 497, 758, 749, 214 is 40309682.
2. How to calculate the LCM of 497, 758, 749, 214?
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 497, 758, 749, 214.
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}.