LCM of 821, 249, 916, 498, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 249, 916, 498, 676 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 821, 249, 916, 498, 676. So, keep reading to learn more.
Given numbers are 821,249,916,498,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,249,916,498,676 is 31646426916.
Find LCM of 821,249,916,498,676 with Prime Factorization
| 2 | 821, 249, 916, 498, 676 |
| 2 | 821, 249, 458, 249, 338 |
| 3 | 821, 249, 229, 249, 169 |
| 83 | 821, 83, 229, 83, 169 |
| 821, 1, 229, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 821 x 1 x 229 x 1 x 169 = 31646426916
Therefore, the lowest common multiple of 821,249,916,498,676 is 31646426916.
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.
821 x 249 x 916 x 498 x 676 = 63039682416672
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.
821 : 1, 821
249 : 1, 3, 83, 249
916 : 1, 2, 4, 229, 458, 916
498 : 1, 2, 3, 6, 83, 166, 249, 498
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,249,916,498,676, is 1.
Now, the common factors can be found like this.
821:821
249:3x 83
916:2x 2x 229
498:2x 3x 83
676:2x 2x 13x 13
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 83 = 1992
Therefore, the value for common factors is 1992.
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 = 63039682416672/(1x1992)
LCM = 63039682416672/1992
LCM = 31646426916
Thus, we can understand that the LCM of 821,249,916,498,676 is 31646426916.
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FAQs on LCM of 821, 249, 916, 498, 676
1. What is the LCM of 821, 249, 916, 498, 676?
Answer: LCM of 821, 249, 916, 498, 676 is 31646426916.
2. How to calculate the LCM of 821, 249, 916, 498, 676?
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 821, 249, 916, 498, 676.
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}.