LCM of 902, 746, 614, 915, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 746, 614, 915, 747 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, 746, 614, 915, 747. So, keep reading to learn more.
Given numbers are 902,746,614,915,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,746,614,915,747 is 23532831543870.
Find LCM of 902,746,614,915,747 with Prime Factorization
| 2 | 902, 746, 614, 915, 747 |
| 3 | 451, 373, 307, 915, 747 |
| 451, 373, 307, 305, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 451 x 373 x 307 x 305 x 249 = 23532831543870
Therefore, the lowest common multiple of 902,746,614,915,747 is 23532831543870.
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 746 x 614 x 915 x 747 = 282393978526440
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
746 : 1, 2, 373, 746
614 : 1, 2, 307, 614
915 : 1, 3, 5, 15, 61, 183, 305, 915
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,746,614,915,747, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
746:2x 373
614:2x 307
915:3x 5x 61
747:3x 3x 83
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 3 = 12
Therefore, the value for common factors is 12.
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 = 282393978526440/(1x12)
LCM = 282393978526440/12
LCM = 23532831543870
Thus, we can understand that the LCM of 902,746,614,915,747 is 23532831543870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 746, 614, 915, 747
1. What is the LCM of 902, 746, 614, 915, 747?
Answer: LCM of 902, 746, 614, 915, 747 is 23532831543870.
2. How to calculate the LCM of 902, 746, 614, 915, 747?
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, 746, 614, 915, 747.
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}.