LCM of 868, 317, 847, 951, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 317, 847, 951, 407 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 868, 317, 847, 951, 407. So, keep reading to learn more.
Given numbers are 868,317,847,951,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,317,847,951,407 is 3695620236.
Find LCM of 868,317,847,951,407 with Prime Factorization
| 7 | 868, 317, 847, 951, 407 |
| 11 | 124, 317, 121, 951, 407 |
| 317 | 124, 317, 11, 951, 37 |
| 124, 1, 11, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 317 x 124 x 1 x 11 x 3 x 37 = 3695620236
Therefore, the lowest common multiple of 868,317,847,951,407 is 3695620236.
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.
868 x 317 x 847 x 951 x 407 = 90206394340524
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
317 : 1, 317
847 : 1, 7, 11, 77, 121, 847
951 : 1, 3, 317, 951
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,317,847,951,407, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
317:317
847:7x 11x 11
951:3x 317
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 317 = 24409
Therefore, the value for common factors is 24409.
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 = 90206394340524/(1x24409)
LCM = 90206394340524/24409
LCM = 3695620236
Thus, we can understand that the LCM of 868,317,847,951,407 is 3695620236.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 868, 317, 847, 951, 407
1. What is the LCM of 868, 317, 847, 951, 407?
Answer: LCM of 868, 317, 847, 951, 407 is 3695620236.
2. How to calculate the LCM of 868, 317, 847, 951, 407?
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 868, 317, 847, 951, 407.
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}.