LCM of 544, 680, 900, 965, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 680, 900, 965, 930 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 544, 680, 900, 965, 930. So, keep reading to learn more.
Given numbers are 544,680,900,965,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,680,900,965,930 is 732319200.
Find LCM of 544,680,900,965,930 with Prime Factorization
| 2 | 544, 680, 900, 965, 930 |
| 2 | 272, 340, 450, 965, 465 |
| 2 | 136, 170, 225, 965, 465 |
| 3 | 68, 85, 225, 965, 465 |
| 5 | 68, 85, 75, 965, 155 |
| 17 | 68, 17, 15, 193, 31 |
| 4, 1, 15, 193, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 4 x 1 x 15 x 193 x 31 = 732319200
Therefore, the lowest common multiple of 544,680,900,965,930 is 732319200.
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.
544 x 680 x 900 x 965 x 930 = 298786233600000
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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
965 : 1, 5, 193, 965
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,680,900,965,930, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
680:2x 2x 2x 5x 17
900:2x 2x 3x 3x 5x 5
965:5x 193
930:2x 3x 5x 31
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 3x 5x 5x 5x 17 = 408000
Therefore, the value for common factors is 408000.
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 = 298786233600000/(1x408000)
LCM = 298786233600000/408000
LCM = 732319200
Thus, we can understand that the LCM of 544,680,900,965,930 is 732319200.
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FAQs on LCM of 544, 680, 900, 965, 930
1. What is the LCM of 544, 680, 900, 965, 930?
Answer: LCM of 544, 680, 900, 965, 930 is 732319200.
2. How to calculate the LCM of 544, 680, 900, 965, 930?
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 544, 680, 900, 965, 930.
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}.