LCM of 446, 580, 300, 667, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 580, 300, 667, 749 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 446, 580, 300, 667, 749. So, keep reading to learn more.
Given numbers are 446,580,300,667,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,580,300,667,749 is 33422102700.
Find LCM of 446,580,300,667,749 with Prime Factorization
| 2 | 446, 580, 300, 667, 749 |
| 2 | 223, 290, 150, 667, 749 |
| 5 | 223, 145, 75, 667, 749 |
| 29 | 223, 29, 15, 667, 749 |
| 223, 1, 15, 23, 749 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 29 x 223 x 1 x 15 x 23 x 749 = 33422102700
Therefore, the lowest common multiple of 446,580,300,667,749 is 33422102700.
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.
446 x 580 x 300 x 667 x 749 = 38769639132000
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.
446 : 1, 2, 223, 446
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
667 : 1, 23, 29, 667
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,580,300,667,749, is 1.
Now, the common factors can be found like this.
446:2x 223
580:2x 2x 5x 29
300:2x 2x 3x 5x 5
667:23x 29
749:7x 107
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 5x 29 = 1160
Therefore, the value for common factors is 1160.
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 = 38769639132000/(1x1160)
LCM = 38769639132000/1160
LCM = 33422102700
Thus, we can understand that the LCM of 446,580,300,667,749 is 33422102700.
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FAQs on LCM of 446, 580, 300, 667, 749
1. What is the LCM of 446, 580, 300, 667, 749?
Answer: LCM of 446, 580, 300, 667, 749 is 33422102700.
2. How to calculate the LCM of 446, 580, 300, 667, 749?
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 446, 580, 300, 667, 749.
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}.