LCM of 638, 940, 532, 854, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 940, 532, 854, 894 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 638, 940, 532, 854, 894. So, keep reading to learn more.
Given numbers are 638,940,532,854,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,940,532,854,894 is 1087445588460.
Find LCM of 638,940,532,854,894 with Prime Factorization
| 2 | 638, 940, 532, 854, 894 |
| 2 | 319, 470, 266, 427, 447 |
| 7 | 319, 235, 133, 427, 447 |
| 319, 235, 19, 61, 447 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 319 x 235 x 19 x 61 x 447 = 1087445588460
Therefore, the lowest common multiple of 638,940,532,854,894 is 1087445588460.
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.
638 x 940 x 532 x 854 x 894 = 243587811815040
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
854 : 1, 2, 7, 14, 61, 122, 427, 854
894 : 1, 2, 3, 6, 149, 298, 447, 894
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,940,532,854,894, is 2.
Now, the common factors can be found like this.
638:2x 11x 29
940:2x 2x 5x 47
532:2x 2x 7x 19
854:2x 7x 61
894:2x 3x 149
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 7 = 112
Therefore, the value for common factors is 112.
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 = 243587811815040/(2x112)
LCM = 243587811815040/224
LCM = 1087445588460
Thus, we can understand that the LCM of 638,940,532,854,894 is 1087445588460.
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FAQs on LCM of 638, 940, 532, 854, 894
1. What is the LCM of 638, 940, 532, 854, 894?
Answer: LCM of 638, 940, 532, 854, 894 is 1087445588460.
2. How to calculate the LCM of 638, 940, 532, 854, 894?
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 638, 940, 532, 854, 894.
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}.