LCM of 364, 126, 702, 709, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 126, 702, 709, 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 364, 126, 702, 709, 978. So, keep reading to learn more.
Given numbers are 364,126,702,709,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,126,702,709,978 is 1135792476.
Find LCM of 364,126,702,709,978 with Prime Factorization
| 2 | 364, 126, 702, 709, 978 |
| 3 | 182, 63, 351, 709, 489 |
| 3 | 182, 21, 117, 709, 163 |
| 7 | 182, 7, 39, 709, 163 |
| 13 | 26, 1, 39, 709, 163 |
| 2, 1, 3, 709, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 2 x 1 x 3 x 709 x 163 = 1135792476
Therefore, the lowest common multiple of 364,126,702,709,978 is 1135792476.
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.
364 x 126 x 702 x 709 x 978 = 22325136908256
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
709 : 1, 709
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 364,126,702,709,978, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
126:2x 3x 3x 7
702:2x 3x 3x 3x 13
709:709
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 2x 3x 3x 3x 7x 13 = 19656
Therefore, the value for common factors is 19656.
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 = 22325136908256/(1x19656)
LCM = 22325136908256/19656
LCM = 1135792476
Thus, we can understand that the LCM of 364,126,702,709,978 is 1135792476.
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FAQs on LCM of 364, 126, 702, 709, 978
1. What is the LCM of 364, 126, 702, 709, 978?
Answer: LCM of 364, 126, 702, 709, 978 is 1135792476.
2. How to calculate the LCM of 364, 126, 702, 709, 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 364, 126, 702, 709, 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}.