LCM of 615, 667, 874, 327, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 667, 874, 327, 938 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 615, 667, 874, 327, 938. So, keep reading to learn more.
Given numbers are 615,667,874,327,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,667,874,327,938 is 796863412590.
Find LCM of 615,667,874,327,938 with Prime Factorization
| 2 | 615, 667, 874, 327, 938 |
| 3 | 615, 667, 437, 327, 469 |
| 23 | 205, 667, 437, 109, 469 |
| 205, 29, 19, 109, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 205 x 29 x 19 x 109 x 469 = 796863412590
Therefore, the lowest common multiple of 615,667,874,327,938 is 796863412590.
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.
615 x 667 x 874 x 327 x 938 = 109967150937420
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
667 : 1, 23, 29, 667
874 : 1, 2, 19, 23, 38, 46, 437, 874
327 : 1, 3, 109, 327
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,667,874,327,938, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
667:23x 29
874:2x 19x 23
327:3x 109
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 109967150937420/(1x138)
LCM = 109967150937420/138
LCM = 796863412590
Thus, we can understand that the LCM of 615,667,874,327,938 is 796863412590.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 615, 667, 874, 327, 938
1. What is the LCM of 615, 667, 874, 327, 938?
Answer: LCM of 615, 667, 874, 327, 938 is 796863412590.
2. How to calculate the LCM of 615, 667, 874, 327, 938?
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 615, 667, 874, 327, 938.
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}.