LCM of 507, 849, 126, 423, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 849, 126, 423, 298 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 507, 849, 126, 423, 298. So, keep reading to learn more.
Given numbers are 507,849,126,423,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,849,126,423,298 is 42201492606.
Find LCM of 507,849,126,423,298 with Prime Factorization
| 2 | 507, 849, 126, 423, 298 |
| 3 | 507, 849, 63, 423, 149 |
| 3 | 169, 283, 21, 141, 149 |
| 169, 283, 7, 47, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 169 x 283 x 7 x 47 x 149 = 42201492606
Therefore, the lowest common multiple of 507,849,126,423,298 is 42201492606.
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.
507 x 849 x 126 x 423 x 298 = 6836641802172
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.
507 : 1, 3, 13, 39, 169, 507
849 : 1, 3, 283, 849
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
423 : 1, 3, 9, 47, 141, 423
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,849,126,423,298, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
849:3x 283
126:2x 3x 3x 7
423:3x 3x 47
298:2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 6836641802172/(1x162)
LCM = 6836641802172/162
LCM = 42201492606
Thus, we can understand that the LCM of 507,849,126,423,298 is 42201492606.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 849, 126, 423, 298
1. What is the LCM of 507, 849, 126, 423, 298?
Answer: LCM of 507, 849, 126, 423, 298 is 42201492606.
2. How to calculate the LCM of 507, 849, 126, 423, 298?
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 507, 849, 126, 423, 298.
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}.