LCM of 584, 684, 749, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 584, 684, 749, 821 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 584, 684, 749, 821. So, keep reading to learn more.
Given numbers are 584,684,749,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,684,749,821 is 61409269656.
Find LCM of 584,684,749,821 with Prime Factorization
| 2 | 584, 684, 749, 821 |
| 2 | 292, 342, 749, 821 |
| 146, 171, 749, 821 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 146 x 171 x 749 x 821 = 61409269656
Therefore, the lowest common multiple of 584,684,749,821 is 61409269656.
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.
584 x 684 x 749 x 821 = 245637078624
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
749 : 1, 7, 107, 749
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,684,749,821, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
684:2x 2x 3x 3x 19
749:7x 107
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 245637078624/(1x4)
LCM = 245637078624/4
LCM = 61409269656
Thus, we can understand that the LCM of 584,684,749,821 is 61409269656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 584, 684, 749, 821
1. What is the LCM of 584, 684, 749, 821?
Answer: LCM of 584, 684, 749, 821 is 61409269656.
2. How to calculate the LCM of 584, 684, 749, 821?
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 584, 684, 749, 821.
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}.