LCM of 508, 737, 328, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 737, 328, 670 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 508, 737, 328, 670. So, keep reading to learn more.
Given numbers are 508,737,328,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,737,328,670 is 153502360.
Find LCM of 508,737,328,670 with Prime Factorization
| 2 | 508, 737, 328, 670 |
| 2 | 254, 737, 164, 335 |
| 67 | 127, 737, 82, 335 |
| 127, 11, 82, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 127 x 11 x 82 x 5 = 153502360
Therefore, the lowest common multiple of 508,737,328,670 is 153502360.
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.
508 x 737 x 328 x 670 = 82277264960
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.
508 : 1, 2, 4, 127, 254, 508
737 : 1, 11, 67, 737
328 : 1, 2, 4, 8, 41, 82, 164, 328
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,737,328,670, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
737:11x 67
328:2x 2x 2x 41
670:2x 5x 67
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 67 = 536
Therefore, the value for common factors is 536.
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 = 82277264960/(1x536)
LCM = 82277264960/536
LCM = 153502360
Thus, we can understand that the LCM of 508,737,328,670 is 153502360.
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FAQs on LCM of 508, 737, 328, 670
1. What is the LCM of 508, 737, 328, 670?
Answer: LCM of 508, 737, 328, 670 is 153502360.
2. How to calculate the LCM of 508, 737, 328, 670?
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 508, 737, 328, 670.
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}.