LCM of 496, 988, 430, 931, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 988, 430, 931, 802 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 496, 988, 430, 931, 802. So, keep reading to learn more.
Given numbers are 496,988,430,931,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,988,430,931,802 is 517556231920.
Find LCM of 496,988,430,931,802 with Prime Factorization
| 2 | 496, 988, 430, 931, 802 |
| 2 | 248, 494, 215, 931, 401 |
| 19 | 124, 247, 215, 931, 401 |
| 124, 13, 215, 49, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 124 x 13 x 215 x 49 x 401 = 517556231920
Therefore, the lowest common multiple of 496,988,430,931,802 is 517556231920.
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.
496 x 988 x 430 x 931 x 802 = 157337094503680
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
430 : 1, 2, 5, 10, 43, 86, 215, 430
931 : 1, 7, 19, 49, 133, 931
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,988,430,931,802, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
988:2x 2x 13x 19
430:2x 5x 43
931:7x 7x 19
802:2x 401
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 19 = 304
Therefore, the value for common factors is 304.
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 = 157337094503680/(1x304)
LCM = 157337094503680/304
LCM = 517556231920
Thus, we can understand that the LCM of 496,988,430,931,802 is 517556231920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 496, 988, 430, 931, 802
1. What is the LCM of 496, 988, 430, 931, 802?
Answer: LCM of 496, 988, 430, 931, 802 is 517556231920.
2. How to calculate the LCM of 496, 988, 430, 931, 802?
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 496, 988, 430, 931, 802.
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}.