LCM of 906, 820, 391, 357, 974
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 820, 391, 357, 974 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 906, 820, 391, 357, 974. So, keep reading to learn more.
Given numbers are 906,820,391,357,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,820,391,357,974 is 495126091740.
Find LCM of 906,820,391,357,974 with Prime Factorization
| 2 | 906, 820, 391, 357, 974 |
| 3 | 453, 410, 391, 357, 487 |
| 17 | 151, 410, 391, 119, 487 |
| 151, 410, 23, 7, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 151 x 410 x 23 x 7 x 487 = 495126091740
Therefore, the lowest common multiple of 906,820,391,357,974 is 495126091740.
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.
906 x 820 x 391 x 357 x 974 = 101005722714960
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
391 : 1, 17, 23, 391
357 : 1, 3, 7, 17, 21, 51, 119, 357
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,820,391,357,974, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
820:2x 2x 5x 41
391:17x 23
357:3x 7x 17
974:2x 487
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 17 = 204
Therefore, the value for common factors is 204.
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 = 101005722714960/(1x204)
LCM = 101005722714960/204
LCM = 495126091740
Thus, we can understand that the LCM of 906,820,391,357,974 is 495126091740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 820, 391, 357, 974
1. What is the LCM of 906, 820, 391, 357, 974?
Answer: LCM of 906, 820, 391, 357, 974 is 495126091740.
2. How to calculate the LCM of 906, 820, 391, 357, 974?
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 906, 820, 391, 357, 974.
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}.