LCM of 821, 921, 688, 268, 737
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 921, 688, 268, 737 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, 921, 688, 268, 737. So, keep reading to learn more.
Given numbers are 821,921,688,268,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,921,688,268,737 is 383405830896.
Find LCM of 821,921,688,268,737 with Prime Factorization
| 2 | 821, 921, 688, 268, 737 |
| 2 | 821, 921, 344, 134, 737 |
| 67 | 821, 921, 172, 67, 737 |
| 821, 921, 172, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 821 x 921 x 172 x 1 x 11 = 383405830896
Therefore, the lowest common multiple of 821,921,688,268,737 is 383405830896.
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 921 x 688 x 268 x 737 = 102752762680128
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
921 : 1, 3, 307, 921
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
268 : 1, 2, 4, 67, 134, 268
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,921,688,268,737, is 1.
Now, the common factors can be found like this.
821:821
921:3x 307
688:2x 2x 2x 2x 43
268:2x 2x 67
737:11x 67
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 67 = 268
Therefore, the value for common factors is 268.
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 = 102752762680128/(1x268)
LCM = 102752762680128/268
LCM = 383405830896
Thus, we can understand that the LCM of 821,921,688,268,737 is 383405830896.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 821, 921, 688, 268, 737
1. What is the LCM of 821, 921, 688, 268, 737?
Answer: LCM of 821, 921, 688, 268, 737 is 383405830896.
2. How to calculate the LCM of 821, 921, 688, 268, 737?
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, 921, 688, 268, 737.
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}.