LCM of 920, 858, 540, 211, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 858, 540, 211, 702 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 920, 858, 540, 211, 702. So, keep reading to learn more.
Given numbers are 920,858,540,211,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,858,540,211,702 is 749497320.
Find LCM of 920,858,540,211,702 with Prime Factorization
| 2 | 920, 858, 540, 211, 702 |
| 2 | 460, 429, 270, 211, 351 |
| 3 | 230, 429, 135, 211, 351 |
| 3 | 230, 143, 45, 211, 117 |
| 3 | 230, 143, 15, 211, 39 |
| 5 | 230, 143, 5, 211, 13 |
| 13 | 46, 143, 1, 211, 13 |
| 46, 11, 1, 211, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 13 x 46 x 11 x 1 x 211 x 1 = 749497320
Therefore, the lowest common multiple of 920,858,540,211,702 is 749497320.
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.
920 x 858 x 540 x 211 x 702 = 63137654236800
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
211 : 1, 211
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,858,540,211,702, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
858:2x 3x 11x 13
540:2x 2x 3x 3x 3x 5
211:211
702:2x 3x 3x 3x 13
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 3x 3x 3x 3x 5x 13 = 84240
Therefore, the value for common factors is 84240.
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 = 63137654236800/(1x84240)
LCM = 63137654236800/84240
LCM = 749497320
Thus, we can understand that the LCM of 920,858,540,211,702 is 749497320.
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FAQs on LCM of 920, 858, 540, 211, 702
1. What is the LCM of 920, 858, 540, 211, 702?
Answer: LCM of 920, 858, 540, 211, 702 is 749497320.
2. How to calculate the LCM of 920, 858, 540, 211, 702?
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 920, 858, 540, 211, 702.
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}.