LCM of 821, 988, 740, 152, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 988, 740, 152, 931 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, 988, 740, 152, 931. So, keep reading to learn more.
Given numbers are 821,988,740,152,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,988,740,152,931 is 14706113240.
Find LCM of 821,988,740,152,931 with Prime Factorization
| 2 | 821, 988, 740, 152, 931 |
| 2 | 821, 494, 370, 76, 931 |
| 19 | 821, 247, 185, 38, 931 |
| 821, 13, 185, 2, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 821 x 13 x 185 x 2 x 49 = 14706113240
Therefore, the lowest common multiple of 821,988,740,152,931 is 14706113240.
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 988 x 740 x 152 x 931 = 84942510074240
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
152 : 1, 2, 4, 8, 19, 38, 76, 152
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,988,740,152,931, is 1.
Now, the common factors can be found like this.
821:821
988:2x 2x 13x 19
740:2x 2x 5x 37
152:2x 2x 2x 19
931:7x 7x 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 2x 19x 19 = 5776
Therefore, the value for common factors is 5776.
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 = 84942510074240/(1x5776)
LCM = 84942510074240/5776
LCM = 14706113240
Thus, we can understand that the LCM of 821,988,740,152,931 is 14706113240.
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FAQs on LCM of 821, 988, 740, 152, 931
1. What is the LCM of 821, 988, 740, 152, 931?
Answer: LCM of 821, 988, 740, 152, 931 is 14706113240.
2. How to calculate the LCM of 821, 988, 740, 152, 931?
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, 988, 740, 152, 931.
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}.