LCM of 926, 244, 902, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 244, 902, 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 926, 244, 902, 947. So, keep reading to learn more.
Given numbers are 926,244,902,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,244,902,947 is 48250002284.
Find LCM of 926,244,902,947 with Prime Factorization
| 2 | 926, 244, 902, 947 |
| 463, 122, 451, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 463 x 122 x 451 x 947 = 48250002284
Therefore, the lowest common multiple of 926,244,902,947 is 48250002284.
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.
926 x 244 x 902 x 947 = 193000009136
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.
926 : 1, 2, 463, 926
244 : 1, 2, 4, 61, 122, 244
902 : 1, 2, 11, 22, 41, 82, 451, 902
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,244,902,947, is 1.
Now, the common factors can be found like this.
926:2x 463
244:2x 2x 61
902:2x 11x 41
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 2 = 4
Therefore, the value for common factors is 4.
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 = 193000009136/(1x4)
LCM = 193000009136/4
LCM = 48250002284
Thus, we can understand that the LCM of 926,244,902,947 is 48250002284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 926, 244, 902, 947
1. What is the LCM of 926, 244, 902, 947?
Answer: LCM of 926, 244, 902, 947 is 48250002284.
2. How to calculate the LCM of 926, 244, 902, 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 926, 244, 902, 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}.