LCM of 822, 370, 611, 805, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 370, 611, 805, 752 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 822, 370, 611, 805, 752. So, keep reading to learn more.
Given numbers are 822,370,611,805,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,370,611,805,752 is 119674223760.
Find LCM of 822,370,611,805,752 with Prime Factorization
| 2 | 822, 370, 611, 805, 752 |
| 5 | 411, 185, 611, 805, 376 |
| 47 | 411, 37, 611, 161, 376 |
| 411, 37, 13, 161, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 411 x 37 x 13 x 161 x 8 = 119674223760
Therefore, the lowest common multiple of 822,370,611,805,752 is 119674223760.
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.
822 x 370 x 611 x 805 x 752 = 112493770334400
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
370 : 1, 2, 5, 10, 37, 74, 185, 370
611 : 1, 13, 47, 611
805 : 1, 5, 7, 23, 35, 115, 161, 805
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,370,611,805,752, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
370:2x 5x 37
611:13x 47
805:5x 7x 23
752:2x 2x 2x 2x 47
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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 112493770334400/(1x940)
LCM = 112493770334400/940
LCM = 119674223760
Thus, we can understand that the LCM of 822,370,611,805,752 is 119674223760.
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FAQs on LCM of 822, 370, 611, 805, 752
1. What is the LCM of 822, 370, 611, 805, 752?
Answer: LCM of 822, 370, 611, 805, 752 is 119674223760.
2. How to calculate the LCM of 822, 370, 611, 805, 752?
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 822, 370, 611, 805, 752.
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}.