LCM of 978, 957, 514, 314, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 957, 514, 314, 498 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 978, 957, 514, 314, 498. So, keep reading to learn more.
Given numbers are 978,957,514,314,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,957,514,314,498 is 1044817422594.
Find LCM of 978,957,514,314,498 with Prime Factorization
| 2 | 978, 957, 514, 314, 498 |
| 3 | 489, 957, 257, 157, 249 |
| 163, 319, 257, 157, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 319 x 257 x 157 x 83 = 1044817422594
Therefore, the lowest common multiple of 978,957,514,314,498 is 1044817422594.
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.
978 x 957 x 514 x 314 x 498 = 75226854426768
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
957 : 1, 3, 11, 29, 33, 87, 319, 957
514 : 1, 2, 257, 514
314 : 1, 2, 157, 314
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,957,514,314,498, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
957:3x 11x 29
514:2x 257
314:2x 157
498:2x 3x 83
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 75226854426768/(1x72)
LCM = 75226854426768/72
LCM = 1044817422594
Thus, we can understand that the LCM of 978,957,514,314,498 is 1044817422594.
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FAQs on LCM of 978, 957, 514, 314, 498
1. What is the LCM of 978, 957, 514, 314, 498?
Answer: LCM of 978, 957, 514, 314, 498 is 1044817422594.
2. How to calculate the LCM of 978, 957, 514, 314, 498?
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 978, 957, 514, 314, 498.
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}.