LCM of 294, 413, 824, 770, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 413, 824, 770, 920 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 294, 413, 824, 770, 920. So, keep reading to learn more.
Given numbers are 294,413,824,770,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,413,824,770,920 is 9040388280.
Find LCM of 294,413,824,770,920 with Prime Factorization
| 2 | 294, 413, 824, 770, 920 |
| 2 | 147, 413, 412, 385, 460 |
| 2 | 147, 413, 206, 385, 230 |
| 5 | 147, 413, 103, 385, 115 |
| 7 | 147, 413, 103, 77, 23 |
| 21, 59, 103, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 21 x 59 x 103 x 11 x 23 = 9040388280
Therefore, the lowest common multiple of 294,413,824,770,920 is 9040388280.
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.
294 x 413 x 824 x 770 x 920 = 70876644115200
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
413 : 1, 7, 59, 413
824 : 1, 2, 4, 8, 103, 206, 412, 824
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,413,824,770,920, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
413:7x 59
824:2x 2x 2x 103
770:2x 5x 7x 11
920:2x 2x 2x 5x 23
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 5x 7x 7 = 7840
Therefore, the value for common factors is 7840.
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 = 70876644115200/(1x7840)
LCM = 70876644115200/7840
LCM = 9040388280
Thus, we can understand that the LCM of 294,413,824,770,920 is 9040388280.
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FAQs on LCM of 294, 413, 824, 770, 920
1. What is the LCM of 294, 413, 824, 770, 920?
Answer: LCM of 294, 413, 824, 770, 920 is 9040388280.
2. How to calculate the LCM of 294, 413, 824, 770, 920?
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 294, 413, 824, 770, 920.
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}.