LCM of 894, 587, 940, 376, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 587, 940, 376, 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 894, 587, 940, 376, 544. So, keep reading to learn more.
Given numbers are 894,587,940,376,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,587,940,376,544 is 33543809760.
Find LCM of 894,587,940,376,544 with Prime Factorization
| 2 | 894, 587, 940, 376, 544 |
| 2 | 447, 587, 470, 188, 272 |
| 2 | 447, 587, 235, 94, 136 |
| 47 | 447, 587, 235, 47, 68 |
| 447, 587, 5, 1, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 47 x 447 x 587 x 5 x 1 x 68 = 33543809760
Therefore, the lowest common multiple of 894,587,940,376,544 is 33543809760.
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.
894 x 587 x 940 x 376 x 544 = 100899779758080
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
587 : 1, 587
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
376 : 1, 2, 4, 8, 47, 94, 188, 376
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 894,587,940,376,544, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
587:587
940:2x 2x 5x 47
376:2x 2x 2x 47
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 2x 2x 2x 2x 2x 47 = 3008
Therefore, the value for common factors is 3008.
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 = 100899779758080/(1x3008)
LCM = 100899779758080/3008
LCM = 33543809760
Thus, we can understand that the LCM of 894,587,940,376,544 is 33543809760.
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FAQs on LCM of 894, 587, 940, 376, 544
1. What is the LCM of 894, 587, 940, 376, 544?
Answer: LCM of 894, 587, 940, 376, 544 is 33543809760.
2. How to calculate the LCM of 894, 587, 940, 376, 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 894, 587, 940, 376, 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}.