LCM of 671, 316, 832, 818, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 316, 832, 818, 689 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 671, 316, 832, 818, 689. So, keep reading to learn more.
Given numbers are 671,316,832,818,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,316,832,818,689 is 956031309376.
Find LCM of 671,316,832,818,689 with Prime Factorization
| 2 | 671, 316, 832, 818, 689 |
| 2 | 671, 158, 416, 409, 689 |
| 13 | 671, 79, 208, 409, 689 |
| 671, 79, 16, 409, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 671 x 79 x 16 x 409 x 53 = 956031309376
Therefore, the lowest common multiple of 671,316,832,818,689 is 956031309376.
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.
671 x 316 x 832 x 818 x 689 = 99427256175104
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.
671 : 1, 11, 61, 671
316 : 1, 2, 4, 79, 158, 316
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
818 : 1, 2, 409, 818
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,316,832,818,689, is 1.
Now, the common factors can be found like this.
671:11x 61
316:2x 2x 79
832:2x 2x 2x 2x 2x 2x 13
818:2x 409
689:13x 53
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 13 = 104
Therefore, the value for common factors is 104.
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 = 99427256175104/(1x104)
LCM = 99427256175104/104
LCM = 956031309376
Thus, we can understand that the LCM of 671,316,832,818,689 is 956031309376.
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FAQs on LCM of 671, 316, 832, 818, 689
1. What is the LCM of 671, 316, 832, 818, 689?
Answer: LCM of 671, 316, 832, 818, 689 is 956031309376.
2. How to calculate the LCM of 671, 316, 832, 818, 689?
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 671, 316, 832, 818, 689.
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}.