LCM of 923, 978, 624, 786, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 978, 624, 786, 420 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 923, 978, 624, 786, 420. So, keep reading to learn more.
Given numbers are 923,978,624,786,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,978,624,786,420 is 33110815920.
Find LCM of 923,978,624,786,420 with Prime Factorization
| 2 | 923, 978, 624, 786, 420 |
| 2 | 923, 489, 312, 393, 210 |
| 3 | 923, 489, 156, 393, 105 |
| 13 | 923, 163, 52, 131, 35 |
| 71, 163, 4, 131, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 71 x 163 x 4 x 131 x 35 = 33110815920
Therefore, the lowest common multiple of 923,978,624,786,420 is 33110815920.
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.
923 x 978 x 624 x 786 x 420 = 185950342206720
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.
923 : 1, 13, 71, 923
978 : 1, 2, 3, 6, 163, 326, 489, 978
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
786 : 1, 2, 3, 6, 131, 262, 393, 786
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,978,624,786,420, is 1.
Now, the common factors can be found like this.
923:13x 71
978:2x 3x 163
624:2x 2x 2x 2x 3x 13
786:2x 3x 131
420:2x 2x 3x 5x 7
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 3x 3x 3x 13 = 5616
Therefore, the value for common factors is 5616.
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 = 185950342206720/(1x5616)
LCM = 185950342206720/5616
LCM = 33110815920
Thus, we can understand that the LCM of 923,978,624,786,420 is 33110815920.
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FAQs on LCM of 923, 978, 624, 786, 420
1. What is the LCM of 923, 978, 624, 786, 420?
Answer: LCM of 923, 978, 624, 786, 420 is 33110815920.
2. How to calculate the LCM of 923, 978, 624, 786, 420?
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 923, 978, 624, 786, 420.
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}.