LCM of 164, 894, 874, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 164, 894, 874, 978 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 164, 894, 874, 978. So, keep reading to learn more.
Given numbers are 164,894,874,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,894,874,978 is 5221802148.
Find LCM of 164,894,874,978 with Prime Factorization
| 2 | 164, 894, 874, 978 |
| 3 | 82, 447, 437, 489 |
| 82, 149, 437, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 82 x 149 x 437 x 163 = 5221802148
Therefore, the lowest common multiple of 164,894,874,978 is 5221802148.
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.
164 x 894 x 874 x 978 = 125323251552
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.
164 : 1, 2, 4, 41, 82, 164
894 : 1, 2, 3, 6, 149, 298, 447, 894
874 : 1, 2, 19, 23, 38, 46, 437, 874
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,894,874,978, is 2.
Now, the common factors can be found like this.
164:2x 2x 41
894:2x 3x 149
874:2x 19x 23
978:2x 3x 163
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 = 125323251552/(2x12)
LCM = 125323251552/24
LCM = 5221802148
Thus, we can understand that the LCM of 164,894,874,978 is 5221802148.
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FAQs on LCM of 164, 894, 874, 978
1. What is the LCM of 164, 894, 874, 978?
Answer: LCM of 164, 894, 874, 978 is 5221802148.
2. How to calculate the LCM of 164, 894, 874, 978?
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 164, 894, 874, 978.
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}.