LCM of 378, 224, 892, 142, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 224, 892, 142, 947 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 378, 224, 892, 142, 947. So, keep reading to learn more.
Given numbers are 378,224,892,142,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,224,892,142,947 is 90682810848.
Find LCM of 378,224,892,142,947 with Prime Factorization
| 2 | 378, 224, 892, 142, 947 |
| 2 | 189, 112, 446, 71, 947 |
| 7 | 189, 56, 223, 71, 947 |
| 27, 8, 223, 71, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 27 x 8 x 223 x 71 x 947 = 90682810848
Therefore, the lowest common multiple of 378,224,892,142,947 is 90682810848.
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.
378 x 224 x 892 x 142 x 947 = 10156474814976
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
892 : 1, 2, 4, 223, 446, 892
142 : 1, 2, 71, 142
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,224,892,142,947, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
224:2x 2x 2x 2x 2x 7
892:2x 2x 223
142:2x 71
947:947
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 7 = 112
Therefore, the value for common factors is 112.
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 = 10156474814976/(1x112)
LCM = 10156474814976/112
LCM = 90682810848
Thus, we can understand that the LCM of 378,224,892,142,947 is 90682810848.
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FAQs on LCM of 378, 224, 892, 142, 947
1. What is the LCM of 378, 224, 892, 142, 947?
Answer: LCM of 378, 224, 892, 142, 947 is 90682810848.
2. How to calculate the LCM of 378, 224, 892, 142, 947?
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 378, 224, 892, 142, 947.
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}.