LCM of 902, 938, 574, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 938, 574, 667 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 902, 938, 574, 667. So, keep reading to learn more.
Given numbers are 902,938,574,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,938,574,667 is 282166346.
Find LCM of 902,938,574,667 with Prime Factorization
| 2 | 902, 938, 574, 667 |
| 7 | 451, 469, 287, 667 |
| 41 | 451, 67, 41, 667 |
| 11, 67, 1, 667 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 11 x 67 x 1 x 667 = 282166346
Therefore, the lowest common multiple of 902,938,574,667 is 282166346.
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.
902 x 938 x 574 x 667 = 323926965208
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
938 : 1, 2, 7, 14, 67, 134, 469, 938
574 : 1, 2, 7, 14, 41, 82, 287, 574
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,938,574,667, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
938:2x 7x 67
574:2x 7x 41
667:23x 29
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 7x 41 = 1148
Therefore, the value for common factors is 1148.
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 = 323926965208/(1x1148)
LCM = 323926965208/1148
LCM = 282166346
Thus, we can understand that the LCM of 902,938,574,667 is 282166346.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 938, 574, 667
1. What is the LCM of 902, 938, 574, 667?
Answer: LCM of 902, 938, 574, 667 is 282166346.
2. How to calculate the LCM of 902, 938, 574, 667?
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 902, 938, 574, 667.
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}.