LCM of 303, 553, 644, 897, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 553, 644, 897, 456 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 303, 553, 644, 897, 456. So, keep reading to learn more.
Given numbers are 303,553,644,897,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,553,644,897,456 is 7615221432.
Find LCM of 303,553,644,897,456 with Prime Factorization
| 2 | 303, 553, 644, 897, 456 |
| 2 | 303, 553, 322, 897, 228 |
| 3 | 303, 553, 161, 897, 114 |
| 7 | 101, 553, 161, 299, 38 |
| 23 | 101, 79, 23, 299, 38 |
| 101, 79, 1, 13, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 101 x 79 x 1 x 13 x 38 = 7615221432
Therefore, the lowest common multiple of 303,553,644,897,456 is 7615221432.
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.
303 x 553 x 644 x 897 x 456 = 44137823419872
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.
303 : 1, 3, 101, 303
553 : 1, 7, 79, 553
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
897 : 1, 3, 13, 23, 39, 69, 299, 897
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,553,644,897,456, is 1.
Now, the common factors can be found like this.
303:3x 101
553:7x 79
644:2x 2x 7x 23
897:3x 13x 23
456:2x 2x 2x 3x 19
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 3x 3x 7x 23 = 5796
Therefore, the value for common factors is 5796.
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 = 44137823419872/(1x5796)
LCM = 44137823419872/5796
LCM = 7615221432
Thus, we can understand that the LCM of 303,553,644,897,456 is 7615221432.
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FAQs on LCM of 303, 553, 644, 897, 456
1. What is the LCM of 303, 553, 644, 897, 456?
Answer: LCM of 303, 553, 644, 897, 456 is 7615221432.
2. How to calculate the LCM of 303, 553, 644, 897, 456?
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 303, 553, 644, 897, 456.
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}.