LCM of 844, 893, 140, 722
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 893, 140, 722 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 844, 893, 140, 722. So, keep reading to learn more.
Given numbers are 844,893,140,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,893,140,722 is 501205180.
Find LCM of 844,893,140,722 with Prime Factorization
| 2 | 844, 893, 140, 722 |
| 2 | 422, 893, 70, 361 |
| 19 | 211, 893, 35, 361 |
| 211, 47, 35, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 211 x 47 x 35 x 19 = 501205180
Therefore, the lowest common multiple of 844,893,140,722 is 501205180.
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.
844 x 893 x 140 x 722 = 76183187360
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.
844 : 1, 2, 4, 211, 422, 844
893 : 1, 19, 47, 893
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,893,140,722, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
893:19x 47
140:2x 2x 5x 7
722:2x 19x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 76183187360/(1x152)
LCM = 76183187360/152
LCM = 501205180
Thus, we can understand that the LCM of 844,893,140,722 is 501205180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 893, 140, 722
1. What is the LCM of 844, 893, 140, 722?
Answer: LCM of 844, 893, 140, 722 is 501205180.
2. How to calculate the LCM of 844, 893, 140, 722?
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 844, 893, 140, 722.
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}.