LCM of 967, 573, 382, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 967, 573, 382, 800 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 967, 573, 382, 800. So, keep reading to learn more.
Given numbers are 967,573,382,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,573,382,800 is 443272800.
Find LCM of 967,573,382,800 with Prime Factorization
| 2 | 967, 573, 382, 800 |
| 191 | 967, 573, 191, 400 |
| 967, 3, 1, 400 |
Multiply the prime numbers at the bottom and the left side.
2 x 191 x 967 x 3 x 1 x 400 = 443272800
Therefore, the lowest common multiple of 967,573,382,800 is 443272800.
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.
967 x 573 x 382 x 800 = 169330209600
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.
967 : 1, 967
573 : 1, 3, 191, 573
382 : 1, 2, 191, 382
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,573,382,800, is 1.
Now, the common factors can be found like this.
967:967
573:3x 191
382:2x 191
800:2x 2x 2x 2x 2x 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 191 = 382
Therefore, the value for common factors is 382.
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 = 169330209600/(1x382)
LCM = 169330209600/382
LCM = 443272800
Thus, we can understand that the LCM of 967,573,382,800 is 443272800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 967, 573, 382, 800
1. What is the LCM of 967, 573, 382, 800?
Answer: LCM of 967, 573, 382, 800 is 443272800.
2. How to calculate the LCM of 967, 573, 382, 800?
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 967, 573, 382, 800.
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}.