LCM of 961, 784, 414, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 961, 784, 414, 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 961, 784, 414, 978. So, keep reading to learn more.
Given numbers are 961,784,414,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 961,784,414,978 is 25421279184.
Find LCM of 961,784,414,978 with Prime Factorization
| 2 | 961, 784, 414, 978 |
| 3 | 961, 392, 207, 489 |
| 961, 392, 69, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 961 x 392 x 69 x 163 = 25421279184
Therefore, the lowest common multiple of 961,784,414,978 is 25421279184.
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.
961 x 784 x 414 x 978 = 305055350208
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.
961 : 1, 31, 961
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,784,414,978, is 1.
Now, the common factors can be found like this.
961:31x 31
784:2x 2x 2x 2x 7x 7
414:2x 3x 3x 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 = 305055350208/(1x12)
LCM = 305055350208/12
LCM = 25421279184
Thus, we can understand that the LCM of 961,784,414,978 is 25421279184.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 961, 784, 414, 978
1. What is the LCM of 961, 784, 414, 978?
Answer: LCM of 961, 784, 414, 978 is 25421279184.
2. How to calculate the LCM of 961, 784, 414, 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 961, 784, 414, 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}.