LCM of 808, 956, 689, 624, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 956, 689, 624, 971 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 808, 956, 689, 624, 971. So, keep reading to learn more.
Given numbers are 808,956,689,624,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,956,689,624,971 is 775173582768.
Find LCM of 808,956,689,624,971 with Prime Factorization
| 2 | 808, 956, 689, 624, 971 |
| 2 | 404, 478, 689, 312, 971 |
| 2 | 202, 239, 689, 156, 971 |
| 13 | 101, 239, 689, 78, 971 |
| 101, 239, 53, 6, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 101 x 239 x 53 x 6 x 971 = 775173582768
Therefore, the lowest common multiple of 808,956,689,624,971 is 775173582768.
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.
808 x 956 x 689 x 624 x 971 = 322472210431488
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
956 : 1, 2, 4, 239, 478, 956
689 : 1, 13, 53, 689
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,956,689,624,971, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
956:2x 2x 239
689:13x 53
624:2x 2x 2x 2x 3x 13
971:971
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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 322472210431488/(1x416)
LCM = 322472210431488/416
LCM = 775173582768
Thus, we can understand that the LCM of 808,956,689,624,971 is 775173582768.
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FAQs on LCM of 808, 956, 689, 624, 971
1. What is the LCM of 808, 956, 689, 624, 971?
Answer: LCM of 808, 956, 689, 624, 971 is 775173582768.
2. How to calculate the LCM of 808, 956, 689, 624, 971?
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 808, 956, 689, 624, 971.
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}.