LCM of 893, 969, 816, 749, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 969, 816, 749, 557 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 893, 969, 816, 749, 557. So, keep reading to learn more.
Given numbers are 893,969,816,749,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,969,816,749,557 is 304003532784.
Find LCM of 893,969,816,749,557 with Prime Factorization
| 3 | 893, 969, 816, 749, 557 |
| 17 | 893, 323, 272, 749, 557 |
| 19 | 893, 19, 16, 749, 557 |
| 47, 1, 16, 749, 557 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 47 x 1 x 16 x 749 x 557 = 304003532784
Therefore, the lowest common multiple of 893,969,816,749,557 is 304003532784.
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.
893 x 969 x 816 x 749 x 557 = 294579423267696
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.
893 : 1, 19, 47, 893
969 : 1, 3, 17, 19, 51, 57, 323, 969
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
749 : 1, 7, 107, 749
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,969,816,749,557, is 1.
Now, the common factors can be found like this.
893:19x 47
969:3x 17x 19
816:2x 2x 2x 2x 3x 17
749:7x 107
557:557
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 19 = 969
Therefore, the value for common factors is 969.
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 = 294579423267696/(1x969)
LCM = 294579423267696/969
LCM = 304003532784
Thus, we can understand that the LCM of 893,969,816,749,557 is 304003532784.
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FAQs on LCM of 893, 969, 816, 749, 557
1. What is the LCM of 893, 969, 816, 749, 557?
Answer: LCM of 893, 969, 816, 749, 557 is 304003532784.
2. How to calculate the LCM of 893, 969, 816, 749, 557?
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 893, 969, 816, 749, 557.
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}.