LCM of 926, 410, 350, 300, 955
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 410, 350, 300, 955 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, 410, 350, 300, 955. So, keep reading to learn more.
Given numbers are 926,410,350,300,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,410,350,300,955 is 7614081300.
Find LCM of 926,410,350,300,955 with Prime Factorization
| 2 | 926, 410, 350, 300, 955 |
| 5 | 463, 205, 175, 150, 955 |
| 5 | 463, 41, 35, 30, 191 |
| 463, 41, 7, 6, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 463 x 41 x 7 x 6 x 191 = 7614081300
Therefore, the lowest common multiple of 926,410,350,300,955 is 7614081300.
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 410 x 350 x 300 x 955 = 38070406500000
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
410 : 1, 2, 5, 10, 41, 82, 205, 410
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,410,350,300,955, is 1.
Now, the common factors can be found like this.
926:2x 463
410:2x 5x 41
350:2x 5x 5x 7
300:2x 2x 3x 5x 5
955:5x 191
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 2x 5x 5x 5x 5 = 5000
Therefore, the value for common factors is 5000.
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 = 38070406500000/(1x5000)
LCM = 38070406500000/5000
LCM = 7614081300
Thus, we can understand that the LCM of 926,410,350,300,955 is 7614081300.
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FAQs on LCM of 926, 410, 350, 300, 955
1. What is the LCM of 926, 410, 350, 300, 955?
Answer: LCM of 926, 410, 350, 300, 955 is 7614081300.
2. How to calculate the LCM of 926, 410, 350, 300, 955?
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, 410, 350, 300, 955.
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}.