LCM of 900, 655, 828, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 655, 828, 946 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 900, 655, 828, 946. So, keep reading to learn more.
Given numbers are 900,655,828,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,655,828,946 is 1282634100.
Find LCM of 900,655,828,946 with Prime Factorization
| 2 | 900, 655, 828, 946 |
| 2 | 450, 655, 414, 473 |
| 3 | 225, 655, 207, 473 |
| 3 | 75, 655, 69, 473 |
| 5 | 25, 655, 23, 473 |
| 5, 131, 23, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 131 x 23 x 473 = 1282634100
Therefore, the lowest common multiple of 900,655,828,946 is 1282634100.
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.
900 x 655 x 828 x 946 = 461748276000
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
655 : 1, 5, 131, 655
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,655,828,946, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
655:5x 131
828:2x 2x 3x 3x 23
946:2x 11x 43
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 461748276000/(1x360)
LCM = 461748276000/360
LCM = 1282634100
Thus, we can understand that the LCM of 900,655,828,946 is 1282634100.
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FAQs on LCM of 900, 655, 828, 946
1. What is the LCM of 900, 655, 828, 946?
Answer: LCM of 900, 655, 828, 946 is 1282634100.
2. How to calculate the LCM of 900, 655, 828, 946?
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 900, 655, 828, 946.
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}.