LCM of 936, 507, 133, 826, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 507, 133, 826, 677 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 936, 507, 133, 826, 677. So, keep reading to learn more.
Given numbers are 936,507,133,826,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,507,133,826,677 is 64641514392.
Find LCM of 936,507,133,826,677 with Prime Factorization
| 2 | 936, 507, 133, 826, 677 |
| 3 | 468, 507, 133, 413, 677 |
| 7 | 156, 169, 133, 413, 677 |
| 13 | 156, 169, 19, 59, 677 |
| 12, 13, 19, 59, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 12 x 13 x 19 x 59 x 677 = 64641514392
Therefore, the lowest common multiple of 936,507,133,826,677 is 64641514392.
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.
936 x 507 x 133 x 826 x 677 = 35294266858032
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
507 : 1, 3, 13, 39, 169, 507
133 : 1, 7, 19, 133
826 : 1, 2, 7, 14, 59, 118, 413, 826
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,507,133,826,677, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
507:3x 13x 13
133:7x 19
826:2x 7x 59
677:677
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 7x 13 = 546
Therefore, the value for common factors is 546.
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 = 35294266858032/(1x546)
LCM = 35294266858032/546
LCM = 64641514392
Thus, we can understand that the LCM of 936,507,133,826,677 is 64641514392.
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FAQs on LCM of 936, 507, 133, 826, 677
1. What is the LCM of 936, 507, 133, 826, 677?
Answer: LCM of 936, 507, 133, 826, 677 is 64641514392.
2. How to calculate the LCM of 936, 507, 133, 826, 677?
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 936, 507, 133, 826, 677.
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}.