LCM of 894, 845, 616, 780, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 845, 616, 780, 454 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, 845, 616, 780, 454. So, keep reading to learn more.
Given numbers are 894,845,616,780,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,845,616,780,454 is 52816643880.
Find LCM of 894,845,616,780,454 with Prime Factorization
| 2 | 894, 845, 616, 780, 454 |
| 2 | 447, 845, 308, 390, 227 |
| 3 | 447, 845, 154, 195, 227 |
| 5 | 149, 845, 154, 65, 227 |
| 13 | 149, 169, 154, 13, 227 |
| 149, 1, 154, 13, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 149 x 1 x 154 x 13 x 227 = 52816643880
Therefore, the lowest common multiple of 894,845,616,780,454 is 52816643880.
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 845 x 616 x 780 x 454 = 164787928905600
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
845 : 1, 5, 13, 65, 169, 845
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,845,616,780,454, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
845:5x 13x 13
616:2x 2x 2x 7x 11
780:2x 2x 3x 5x 13
454:2x 227
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 3x 5x 13 = 3120
Therefore, the value for common factors is 3120.
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 = 164787928905600/(1x3120)
LCM = 164787928905600/3120
LCM = 52816643880
Thus, we can understand that the LCM of 894,845,616,780,454 is 52816643880.
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FAQs on LCM of 894, 845, 616, 780, 454
1. What is the LCM of 894, 845, 616, 780, 454?
Answer: LCM of 894, 845, 616, 780, 454 is 52816643880.
2. How to calculate the LCM of 894, 845, 616, 780, 454?
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, 845, 616, 780, 454.
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}.