LCM of 157, 562, 969, 843, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 562, 969, 843, 759 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 157, 562, 969, 843, 759. So, keep reading to learn more.
Given numbers are 157,562,969,843,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,562,969,843,759 is 21631182738.
Find LCM of 157,562,969,843,759 with Prime Factorization
| 3 | 157, 562, 969, 843, 759 |
| 281 | 157, 562, 323, 281, 253 |
| 157, 2, 323, 1, 253 |
Multiply the prime numbers at the bottom and the left side.
3 x 281 x 157 x 2 x 323 x 1 x 253 = 21631182738
Therefore, the lowest common multiple of 157,562,969,843,759 is 21631182738.
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.
157 x 562 x 969 x 843 x 759 = 54705261144402
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.
157 : 1, 157
562 : 1, 2, 281, 562
969 : 1, 3, 17, 19, 51, 57, 323, 969
843 : 1, 3, 281, 843
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,562,969,843,759, is 1.
Now, the common factors can be found like this.
157:157
562:2x 281
969:3x 17x 19
843:3x 281
759:3x 11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 281 = 2529
Therefore, the value for common factors is 2529.
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 = 54705261144402/(1x2529)
LCM = 54705261144402/2529
LCM = 21631182738
Thus, we can understand that the LCM of 157,562,969,843,759 is 21631182738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 157, 562, 969, 843, 759
1. What is the LCM of 157, 562, 969, 843, 759?
Answer: LCM of 157, 562, 969, 843, 759 is 21631182738.
2. How to calculate the LCM of 157, 562, 969, 843, 759?
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 157, 562, 969, 843, 759.
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}.