LCM of 890, 689, 668, 862, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 689, 668, 862, 636 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 890, 689, 668, 862, 636. So, keep reading to learn more.
Given numbers are 890,689,668,862,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,689,668,862,636 is 264822097020.
Find LCM of 890,689,668,862,636 with Prime Factorization
| 2 | 890, 689, 668, 862, 636 |
| 2 | 445, 689, 334, 431, 318 |
| 53 | 445, 689, 167, 431, 159 |
| 445, 13, 167, 431, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 445 x 13 x 167 x 431 x 3 = 264822097020
Therefore, the lowest common multiple of 890,689,668,862,636 is 264822097020.
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.
890 x 689 x 668 x 862 x 636 = 224569138272960
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
689 : 1, 13, 53, 689
668 : 1, 2, 4, 167, 334, 668
862 : 1, 2, 431, 862
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,689,668,862,636, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
689:13x 53
668:2x 2x 167
862:2x 431
636:2x 2x 3x 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 2x 53 = 848
Therefore, the value for common factors is 848.
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 = 224569138272960/(1x848)
LCM = 224569138272960/848
LCM = 264822097020
Thus, we can understand that the LCM of 890,689,668,862,636 is 264822097020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 890, 689, 668, 862, 636
1. What is the LCM of 890, 689, 668, 862, 636?
Answer: LCM of 890, 689, 668, 862, 636 is 264822097020.
2. How to calculate the LCM of 890, 689, 668, 862, 636?
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 890, 689, 668, 862, 636.
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}.