LCM of 305, 502, 978, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 502, 978, 693 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 305, 502, 978, 693. So, keep reading to learn more.
Given numbers are 305,502,978,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,502,978,693 is 17295152490.
Find LCM of 305,502,978,693 with Prime Factorization
| 2 | 305, 502, 978, 693 |
| 3 | 305, 251, 489, 693 |
| 305, 251, 163, 231 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 305 x 251 x 163 x 231 = 17295152490
Therefore, the lowest common multiple of 305,502,978,693 is 17295152490.
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.
305 x 502 x 978 x 693 = 103770914940
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.
305 : 1, 5, 61, 305
502 : 1, 2, 251, 502
978 : 1, 2, 3, 6, 163, 326, 489, 978
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,502,978,693, is 1.
Now, the common factors can be found like this.
305:5x 61
502:2x 251
978:2x 3x 163
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 103770914940/(1x6)
LCM = 103770914940/6
LCM = 17295152490
Thus, we can understand that the LCM of 305,502,978,693 is 17295152490.
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FAQs on LCM of 305, 502, 978, 693
1. What is the LCM of 305, 502, 978, 693?
Answer: LCM of 305, 502, 978, 693 is 17295152490.
2. How to calculate the LCM of 305, 502, 978, 693?
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 305, 502, 978, 693.
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}.