LCM of 779, 750, 493, 867, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 750, 493, 867, 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 779, 750, 493, 867, 930. So, keep reading to learn more.
Given numbers are 779,750,493,867,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,750,493,867,930 is 151794576750.
Find LCM of 779,750,493,867,930 with Prime Factorization
| 2 | 779, 750, 493, 867, 930 |
| 3 | 779, 375, 493, 867, 465 |
| 5 | 779, 125, 493, 289, 155 |
| 17 | 779, 25, 493, 289, 31 |
| 779, 25, 29, 17, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 779 x 25 x 29 x 17 x 31 = 151794576750
Therefore, the lowest common multiple of 779,750,493,867,930 is 151794576750.
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.
779 x 750 x 493 x 867 x 930 = 232245702427500
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.
779 : 1, 19, 41, 779
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
493 : 1, 17, 29, 493
867 : 1, 3, 17, 51, 289, 867
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 779,750,493,867,930, is 1.
Now, the common factors can be found like this.
779:19x 41
750:2x 3x 5x 5x 5
493:17x 29
867:3x 17x 17
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 3x 3x 5x 17 = 1530
Therefore, the value for common factors is 1530.
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 = 232245702427500/(1x1530)
LCM = 232245702427500/1530
LCM = 151794576750
Thus, we can understand that the LCM of 779,750,493,867,930 is 151794576750.
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FAQs on LCM of 779, 750, 493, 867, 930
1. What is the LCM of 779, 750, 493, 867, 930?
Answer: LCM of 779, 750, 493, 867, 930 is 151794576750.
2. How to calculate the LCM of 779, 750, 493, 867, 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 779, 750, 493, 867, 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}.