LCM of 822, 867, 946, 302, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 867, 946, 302, 750 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, 867, 946, 302, 750. So, keep reading to learn more.
Given numbers are 822,867,946,302,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,867,946,302,750 is 2120888129250.
Find LCM of 822,867,946,302,750 with Prime Factorization
| 2 | 822, 867, 946, 302, 750 |
| 3 | 411, 867, 473, 151, 375 |
| 137, 289, 473, 151, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 137 x 289 x 473 x 151 x 125 = 2120888129250
Therefore, the lowest common multiple of 822,867,946,302,750 is 2120888129250.
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 867 x 946 x 302 x 750 = 152703945306000
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
867 : 1, 3, 17, 51, 289, 867
946 : 1, 2, 11, 22, 43, 86, 473, 946
302 : 1, 2, 151, 302
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,867,946,302,750, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
867:3x 17x 17
946:2x 11x 43
302:2x 151
750:2x 3x 5x 5x 5
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 152703945306000/(1x72)
LCM = 152703945306000/72
LCM = 2120888129250
Thus, we can understand that the LCM of 822,867,946,302,750 is 2120888129250.
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FAQs on LCM of 822, 867, 946, 302, 750
1. What is the LCM of 822, 867, 946, 302, 750?
Answer: LCM of 822, 867, 946, 302, 750 is 2120888129250.
2. How to calculate the LCM of 822, 867, 946, 302, 750?
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, 867, 946, 302, 750.
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}.