LCM of 463, 514, 598, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 514, 598, 749 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 463, 514, 598, 749. So, keep reading to learn more.
Given numbers are 463,514,598,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,514,598,749 is 53296306882.
Find LCM of 463,514,598,749 with Prime Factorization
| 2 | 463, 514, 598, 749 |
| 463, 257, 299, 749 |
Multiply the prime numbers at the bottom and the left side.
2 x 463 x 257 x 299 x 749 = 53296306882
Therefore, the lowest common multiple of 463,514,598,749 is 53296306882.
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.
463 x 514 x 598 x 749 = 106592613764
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.
463 : 1, 463
514 : 1, 2, 257, 514
598 : 1, 2, 13, 23, 26, 46, 299, 598
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,514,598,749, is 1.
Now, the common factors can be found like this.
463:463
514:2x 257
598:2x 13x 23
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 106592613764/(1x2)
LCM = 106592613764/2
LCM = 53296306882
Thus, we can understand that the LCM of 463,514,598,749 is 53296306882.
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FAQs on LCM of 463, 514, 598, 749
1. What is the LCM of 463, 514, 598, 749?
Answer: LCM of 463, 514, 598, 749 is 53296306882.
2. How to calculate the LCM of 463, 514, 598, 749?
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 463, 514, 598, 749.
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}.