LCM of 884, 722, 663, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 722, 663, 749 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 884, 722, 663, 749. So, keep reading to learn more.
Given numbers are 884,722,663,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,722,663,749 is 717071628.
Find LCM of 884,722,663,749 with Prime Factorization
| 2 | 884, 722, 663, 749 |
| 13 | 442, 361, 663, 749 |
| 17 | 34, 361, 51, 749 |
| 2, 361, 3, 749 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 2 x 361 x 3 x 749 = 717071628
Therefore, the lowest common multiple of 884,722,663,749 is 717071628.
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.
884 x 722 x 663 x 749 = 316945659576
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
722 : 1, 2, 19, 38, 361, 722
663 : 1, 3, 13, 17, 39, 51, 221, 663
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,722,663,749, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
722:2x 19x 19
663:3x 13x 17
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 316945659576/(1x442)
LCM = 316945659576/442
LCM = 717071628
Thus, we can understand that the LCM of 884,722,663,749 is 717071628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 884, 722, 663, 749
1. What is the LCM of 884, 722, 663, 749?
Answer: LCM of 884, 722, 663, 749 is 717071628.
2. How to calculate the LCM of 884, 722, 663, 749?
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 884, 722, 663, 749.
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}.