LCM of 936, 336, 684, 485, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 336, 684, 485, 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 936, 336, 684, 485, 978. So, keep reading to learn more.
Given numbers are 936,336,684,485,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,336,684,485,978 is 19682797680.
Find LCM of 936,336,684,485,978 with Prime Factorization
| 2 | 936, 336, 684, 485, 978 |
| 2 | 468, 168, 342, 485, 489 |
| 2 | 234, 84, 171, 485, 489 |
| 3 | 117, 42, 171, 485, 489 |
| 3 | 39, 14, 57, 485, 163 |
| 13, 14, 19, 485, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 14 x 19 x 485 x 163 = 19682797680
Therefore, the lowest common multiple of 936,336,684,485,978 is 19682797680.
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.
936 x 336 x 684 x 485 x 978 = 102035623173120
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
485 : 1, 5, 97, 485
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 936,336,684,485,978, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
336:2x 2x 2x 2x 3x 7
684:2x 2x 3x 3x 19
485:5x 97
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 2x 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 102035623173120/(1x5184)
LCM = 102035623173120/5184
LCM = 19682797680
Thus, we can understand that the LCM of 936,336,684,485,978 is 19682797680.
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FAQs on LCM of 936, 336, 684, 485, 978
1. What is the LCM of 936, 336, 684, 485, 978?
Answer: LCM of 936, 336, 684, 485, 978 is 19682797680.
2. How to calculate the LCM of 936, 336, 684, 485, 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 936, 336, 684, 485, 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}.