LCM of 919, 378, 420, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 378, 420, 824 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 919, 378, 420, 824. So, keep reading to learn more.
Given numbers are 919,378,420,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,378,420,824 is 715606920.
Find LCM of 919,378,420,824 with Prime Factorization
| 2 | 919, 378, 420, 824 |
| 2 | 919, 189, 210, 412 |
| 3 | 919, 189, 105, 206 |
| 7 | 919, 63, 35, 206 |
| 919, 9, 5, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 919 x 9 x 5 x 206 = 715606920
Therefore, the lowest common multiple of 919,378,420,824 is 715606920.
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.
919 x 378 x 420 x 824 = 120221962560
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.
919 : 1, 919
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,378,420,824, is 1.
Now, the common factors can be found like this.
919:919
378:2x 3x 3x 3x 7
420:2x 2x 3x 5x 7
824:2x 2x 2x 103
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 7 = 168
Therefore, the value for common factors is 168.
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 = 120221962560/(1x168)
LCM = 120221962560/168
LCM = 715606920
Thus, we can understand that the LCM of 919,378,420,824 is 715606920.
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FAQs on LCM of 919, 378, 420, 824
1. What is the LCM of 919, 378, 420, 824?
Answer: LCM of 919, 378, 420, 824 is 715606920.
2. How to calculate the LCM of 919, 378, 420, 824?
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 919, 378, 420, 824.
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}.