LCM of 930, 480, 824, 749, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 480, 824, 749, 352 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 930, 480, 824, 749, 352. So, keep reading to learn more.
Given numbers are 930,480,824,749,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,480,824,749,352 is 12627420960.
Find LCM of 930,480,824,749,352 with Prime Factorization
| 2 | 930, 480, 824, 749, 352 |
| 2 | 465, 240, 412, 749, 176 |
| 2 | 465, 120, 206, 749, 88 |
| 2 | 465, 60, 103, 749, 44 |
| 2 | 465, 30, 103, 749, 22 |
| 3 | 465, 15, 103, 749, 11 |
| 5 | 155, 5, 103, 749, 11 |
| 31, 1, 103, 749, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 1 x 103 x 749 x 11 = 12627420960
Therefore, the lowest common multiple of 930,480,824,749,352 is 12627420960.
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.
930 x 480 x 824 x 749 x 352 = 96978592972800
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
824 : 1, 2, 4, 8, 103, 206, 412, 824
749 : 1, 7, 107, 749
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,480,824,749,352, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
480:2x 2x 2x 2x 2x 3x 5
824:2x 2x 2x 103
749:7x 107
352:2x 2x 2x 2x 2x 11
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 2x 2x 2x 3x 5 = 7680
Therefore, the value for common factors is 7680.
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 = 96978592972800/(1x7680)
LCM = 96978592972800/7680
LCM = 12627420960
Thus, we can understand that the LCM of 930,480,824,749,352 is 12627420960.
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FAQs on LCM of 930, 480, 824, 749, 352
1. What is the LCM of 930, 480, 824, 749, 352?
Answer: LCM of 930, 480, 824, 749, 352 is 12627420960.
2. How to calculate the LCM of 930, 480, 824, 749, 352?
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 930, 480, 824, 749, 352.
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}.