LCM of 300, 787, 932, 626, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 300, 787, 932, 626, 107 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 300, 787, 932, 626, 107. So, keep reading to learn more.
Given numbers are 300,787,932,626,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 300,787,932,626,107 is 1842383448300.
Find LCM of 300,787,932,626,107 with Prime Factorization
| 2 | 300, 787, 932, 626, 107 |
| 2 | 150, 787, 466, 313, 107 |
| 75, 787, 233, 313, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 75 x 787 x 233 x 313 x 107 = 1842383448300
Therefore, the lowest common multiple of 300,787,932,626,107 is 1842383448300.
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.
300 x 787 x 932 x 626 x 107 = 14739067586400
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.
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
787 : 1, 787
932 : 1, 2, 4, 233, 466, 932
626 : 1, 2, 313, 626
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,787,932,626,107, is 1.
Now, the common factors can be found like this.
300:2x 2x 3x 5x 5
787:787
932:2x 2x 233
626:2x 313
107:107
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 2 = 8
Therefore, the value for common factors is 8.
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 = 14739067586400/(1x8)
LCM = 14739067586400/8
LCM = 1842383448300
Thus, we can understand that the LCM of 300,787,932,626,107 is 1842383448300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 300, 787, 932, 626, 107
1. What is the LCM of 300, 787, 932, 626, 107?
Answer: LCM of 300, 787, 932, 626, 107 is 1842383448300.
2. How to calculate the LCM of 300, 787, 932, 626, 107?
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 300, 787, 932, 626, 107.
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}.