LCM of 447, 980, 749, 958, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 980, 749, 958, 544 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 447, 980, 749, 958, 544. So, keep reading to learn more.
Given numbers are 447,980,749,958,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,980,749,958,544 is 3053456928480.
Find LCM of 447,980,749,958,544 with Prime Factorization
| 2 | 447, 980, 749, 958, 544 |
| 2 | 447, 490, 749, 479, 272 |
| 7 | 447, 245, 749, 479, 136 |
| 447, 35, 107, 479, 136 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 447 x 35 x 107 x 479 x 136 = 3053456928480
Therefore, the lowest common multiple of 447,980,749,958,544 is 3053456928480.
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.
447 x 980 x 749 x 958 x 544 = 170993587994880
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.
447 : 1, 3, 149, 447
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
749 : 1, 7, 107, 749
958 : 1, 2, 479, 958
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,980,749,958,544, is 1.
Now, the common factors can be found like this.
447:3x 149
980:2x 2x 5x 7x 7
749:7x 107
958:2x 479
544:2x 2x 2x 2x 2x 17
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 7 = 56
Therefore, the value for common factors is 56.
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 = 170993587994880/(1x56)
LCM = 170993587994880/56
LCM = 3053456928480
Thus, we can understand that the LCM of 447,980,749,958,544 is 3053456928480.
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FAQs on LCM of 447, 980, 749, 958, 544
1. What is the LCM of 447, 980, 749, 958, 544?
Answer: LCM of 447, 980, 749, 958, 544 is 3053456928480.
2. How to calculate the LCM of 447, 980, 749, 958, 544?
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 447, 980, 749, 958, 544.
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}.