LCM of 473, 638, 858, 165, 292
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 638, 858, 165, 292 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 473, 638, 858, 165, 292. So, keep reading to learn more.
Given numbers are 473,638,858,165,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,638,858,165,292 is 781045980.
Find LCM of 473,638,858,165,292 with Prime Factorization
| 2 | 473, 638, 858, 165, 292 |
| 3 | 473, 319, 429, 165, 146 |
| 11 | 473, 319, 143, 55, 146 |
| 43, 29, 13, 5, 146 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 43 x 29 x 13 x 5 x 146 = 781045980
Therefore, the lowest common multiple of 473,638,858,165,292 is 781045980.
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.
473 x 638 x 858 x 165 x 292 = 12474866392560
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.
473 : 1, 11, 43, 473
638 : 1, 2, 11, 22, 29, 58, 319, 638
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
165 : 1, 3, 5, 11, 15, 33, 55, 165
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,638,858,165,292, is 1.
Now, the common factors can be found like this.
473:11x 43
638:2x 11x 29
858:2x 3x 11x 13
165:3x 5x 11
292:2x 2x 73
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 3x 11x 11x 11 = 15972
Therefore, the value for common factors is 15972.
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 = 12474866392560/(1x15972)
LCM = 12474866392560/15972
LCM = 781045980
Thus, we can understand that the LCM of 473,638,858,165,292 is 781045980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 473, 638, 858, 165, 292
1. What is the LCM of 473, 638, 858, 165, 292?
Answer: LCM of 473, 638, 858, 165, 292 is 781045980.
2. How to calculate the LCM of 473, 638, 858, 165, 292?
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 473, 638, 858, 165, 292.
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}.