LCM of 978, 892, 314, 403, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 892, 314, 403, 248 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, 892, 314, 403, 248. So, keep reading to learn more.
Given numbers are 978,892,314,403,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,892,314,403,248 is 55196101896.
Find LCM of 978,892,314,403,248 with Prime Factorization
| 2 | 978, 892, 314, 403, 248 |
| 2 | 489, 446, 157, 403, 124 |
| 31 | 489, 223, 157, 403, 62 |
| 489, 223, 157, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 489 x 223 x 157 x 13 x 2 = 55196101896
Therefore, the lowest common multiple of 978,892,314,403,248 is 55196101896.
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 892 x 314 x 403 x 248 = 27377266540416
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
892 : 1, 2, 4, 223, 446, 892
314 : 1, 2, 157, 314
403 : 1, 13, 31, 403
248 : 1, 2, 4, 8, 31, 62, 124, 248
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,892,314,403,248, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
892:2x 2x 223
314:2x 157
403:13x 31
248:2x 2x 2x 31
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 31 = 496
Therefore, the value for common factors is 496.
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 = 27377266540416/(1x496)
LCM = 27377266540416/496
LCM = 55196101896
Thus, we can understand that the LCM of 978,892,314,403,248 is 55196101896.
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FAQs on LCM of 978, 892, 314, 403, 248
1. What is the LCM of 978, 892, 314, 403, 248?
Answer: LCM of 978, 892, 314, 403, 248 is 55196101896.
2. How to calculate the LCM of 978, 892, 314, 403, 248?
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, 892, 314, 403, 248.
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}.