LCM of 749, 520, 816, 832, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 520, 816, 832, 507 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 749, 520, 816, 832, 507. So, keep reading to learn more.
Given numbers are 749,520,816,832,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,520,816,832,507 is 2065801920.
Find LCM of 749,520,816,832,507 with Prime Factorization
| 2 | 749, 520, 816, 832, 507 |
| 2 | 749, 260, 408, 416, 507 |
| 2 | 749, 130, 204, 208, 507 |
| 2 | 749, 65, 102, 104, 507 |
| 3 | 749, 65, 51, 52, 507 |
| 13 | 749, 65, 17, 52, 169 |
| 749, 5, 17, 4, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 749 x 5 x 17 x 4 x 13 = 2065801920
Therefore, the lowest common multiple of 749,520,816,832,507 is 2065801920.
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.
749 x 520 x 816 x 832 x 507 = 134062281400320
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.
749 : 1, 7, 107, 749
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,520,816,832,507, is 1.
Now, the common factors can be found like this.
749:7x 107
520:2x 2x 2x 5x 13
816:2x 2x 2x 2x 3x 17
832:2x 2x 2x 2x 2x 2x 13
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 3x 13x 13 = 64896
Therefore, the value for common factors is 64896.
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 = 134062281400320/(1x64896)
LCM = 134062281400320/64896
LCM = 2065801920
Thus, we can understand that the LCM of 749,520,816,832,507 is 2065801920.
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FAQs on LCM of 749, 520, 816, 832, 507
1. What is the LCM of 749, 520, 816, 832, 507?
Answer: LCM of 749, 520, 816, 832, 507 is 2065801920.
2. How to calculate the LCM of 749, 520, 816, 832, 507?
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 749, 520, 816, 832, 507.
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}.