LCM of 635, 513, 507, 508, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 513, 507, 508, 874 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 635, 513, 507, 508, 874. So, keep reading to learn more.
Given numbers are 635,513,507,508,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,513,507,508,874 is 5064838740.
Find LCM of 635,513,507,508,874 with Prime Factorization
| 2 | 635, 513, 507, 508, 874 |
| 3 | 635, 513, 507, 254, 437 |
| 19 | 635, 171, 169, 254, 437 |
| 127 | 635, 9, 169, 254, 23 |
| 5, 9, 169, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 127 x 5 x 9 x 169 x 2 x 23 = 5064838740
Therefore, the lowest common multiple of 635,513,507,508,874 is 5064838740.
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.
635 x 513 x 507 x 508 x 874 = 73328735277720
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.
635 : 1, 5, 127, 635
513 : 1, 3, 9, 19, 27, 57, 171, 513
507 : 1, 3, 13, 39, 169, 507
508 : 1, 2, 4, 127, 254, 508
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,513,507,508,874, is 1.
Now, the common factors can be found like this.
635:5x 127
513:3x 3x 3x 19
507:3x 13x 13
508:2x 2x 127
874:2x 19x 23
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 19x 127 = 14478
Therefore, the value for common factors is 14478.
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 = 73328735277720/(1x14478)
LCM = 73328735277720/14478
LCM = 5064838740
Thus, we can understand that the LCM of 635,513,507,508,874 is 5064838740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 513, 507, 508, 874
1. What is the LCM of 635, 513, 507, 508, 874?
Answer: LCM of 635, 513, 507, 508, 874 is 5064838740.
2. How to calculate the LCM of 635, 513, 507, 508, 874?
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 635, 513, 507, 508, 874.
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}.