LCM of 858, 943, 147, 391, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 943, 147, 391, 544 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 858, 943, 147, 391, 544. So, keep reading to learn more.
Given numbers are 858,943,147,391,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,943,147,391,544 is 10783604832.
Find LCM of 858,943,147,391,544 with Prime Factorization
| 2 | 858, 943, 147, 391, 544 |
| 3 | 429, 943, 147, 391, 272 |
| 17 | 143, 943, 49, 391, 272 |
| 23 | 143, 943, 49, 23, 16 |
| 143, 41, 49, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 143 x 41 x 49 x 1 x 16 = 10783604832
Therefore, the lowest common multiple of 858,943,147,391,544 is 10783604832.
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.
858 x 943 x 147 x 391 x 544 = 25298336935872
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
943 : 1, 23, 41, 943
147 : 1, 3, 7, 21, 49, 147
391 : 1, 17, 23, 391
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,943,147,391,544, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
943:23x 41
147:3x 7x 7
391:17x 23
544:2x 2x 2x 2x 2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 23 = 2346
Therefore, the value for common factors is 2346.
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 = 25298336935872/(1x2346)
LCM = 25298336935872/2346
LCM = 10783604832
Thus, we can understand that the LCM of 858,943,147,391,544 is 10783604832.
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FAQs on LCM of 858, 943, 147, 391, 544
1. What is the LCM of 858, 943, 147, 391, 544?
Answer: LCM of 858, 943, 147, 391, 544 is 10783604832.
2. How to calculate the LCM of 858, 943, 147, 391, 544?
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 858, 943, 147, 391, 544.
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}.