LCM of 624, 298, 978, 271
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 298, 978, 271 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 624, 298, 978, 271. So, keep reading to learn more.
Given numbers are 624,298,978,271
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,298,978,271 is 4107028848.
Find LCM of 624,298,978,271 with Prime Factorization
| 2 | 624, 298, 978, 271 |
| 3 | 312, 149, 489, 271 |
| 104, 149, 163, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 104 x 149 x 163 x 271 = 4107028848
Therefore, the lowest common multiple of 624,298,978,271 is 4107028848.
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.
624 x 298 x 978 x 271 = 49284346176
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
298 : 1, 2, 149, 298
978 : 1, 2, 3, 6, 163, 326, 489, 978
271 : 1, 271
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,298,978,271, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
298:2x 149
978:2x 3x 163
271:271
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 3 = 12
Therefore, the value for common factors is 12.
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 = 49284346176/(1x12)
LCM = 49284346176/12
LCM = 4107028848
Thus, we can understand that the LCM of 624,298,978,271 is 4107028848.
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FAQs on LCM of 624, 298, 978, 271
1. What is the LCM of 624, 298, 978, 271?
Answer: LCM of 624, 298, 978, 271 is 4107028848.
2. How to calculate the LCM of 624, 298, 978, 271?
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 624, 298, 978, 271.
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}.