LCM of 535, 616, 807, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 616, 807, 897 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 535, 616, 807, 897. So, keep reading to learn more.
Given numbers are 535,616,807,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,616,807,897 is 79520521080.
Find LCM of 535,616,807,897 with Prime Factorization
| 3 | 535, 616, 807, 897 |
| 535, 616, 269, 299 |
Multiply the prime numbers at the bottom and the left side.
3 x 535 x 616 x 269 x 299 = 79520521080
Therefore, the lowest common multiple of 535,616,807,897 is 79520521080.
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.
535 x 616 x 807 x 897 = 238561563240
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.
535 : 1, 5, 107, 535
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
807 : 1, 3, 269, 807
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,616,807,897, is 1.
Now, the common factors can be found like this.
535:5x 107
616:2x 2x 2x 7x 11
807:3x 269
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 238561563240/(1x3)
LCM = 238561563240/3
LCM = 79520521080
Thus, we can understand that the LCM of 535,616,807,897 is 79520521080.
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FAQs on LCM of 535, 616, 807, 897
1. What is the LCM of 535, 616, 807, 897?
Answer: LCM of 535, 616, 807, 897 is 79520521080.
2. How to calculate the LCM of 535, 616, 807, 897?
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 535, 616, 807, 897.
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}.