LCM of 900, 688, 618, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 688, 618, 896 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, 688, 618, 896. So, keep reading to learn more.
Given numbers are 900,688,618,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,688,618,896 is 892886400.
Find LCM of 900,688,618,896 with Prime Factorization
| 2 | 900, 688, 618, 896 |
| 2 | 450, 344, 309, 448 |
| 2 | 225, 172, 309, 224 |
| 2 | 225, 86, 309, 112 |
| 3 | 225, 43, 309, 56 |
| 75, 43, 103, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 75 x 43 x 103 x 56 = 892886400
Therefore, the lowest common multiple of 900,688,618,896 is 892886400.
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 688 x 618 x 896 = 342868377600
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
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
618 : 1, 2, 3, 6, 103, 206, 309, 618
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,688,618,896, is 2.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
688:2x 2x 2x 2x 43
618:2x 3x 103
896:2x 2x 2x 2x 2x 2x 2x 7
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 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 342868377600/(2x192)
LCM = 342868377600/384
LCM = 892886400
Thus, we can understand that the LCM of 900,688,618,896 is 892886400.
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FAQs on LCM of 900, 688, 618, 896
1. What is the LCM of 900, 688, 618, 896?
Answer: LCM of 900, 688, 618, 896 is 892886400.
2. How to calculate the LCM of 900, 688, 618, 896?
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, 688, 618, 896.
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}.