LCM of 771, 870, 357, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 870, 357, 261 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 771, 870, 357, 261. So, keep reading to learn more.
Given numbers are 771,870,357,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,870,357,261 is 79821630.
Find LCM of 771,870,357,261 with Prime Factorization
| 3 | 771, 870, 357, 261 |
| 29 | 257, 290, 119, 87 |
| 257, 10, 119, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 257 x 10 x 119 x 3 = 79821630
Therefore, the lowest common multiple of 771,870,357,261 is 79821630.
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.
771 x 870 x 357 x 261 = 62500336290
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.
771 : 1, 3, 257, 771
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
357 : 1, 3, 7, 17, 21, 51, 119, 357
261 : 1, 3, 9, 29, 87, 261
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,870,357,261, is 3.
Now, the common factors can be found like this.
771:3x 257
870:2x 3x 5x 29
357:3x 7x 17
261:3x 3x 29
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 29 = 261
Therefore, the value for common factors is 261.
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 = 62500336290/(3x261)
LCM = 62500336290/783
LCM = 79821630
Thus, we can understand that the LCM of 771,870,357,261 is 79821630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 771, 870, 357, 261
1. What is the LCM of 771, 870, 357, 261?
Answer: LCM of 771, 870, 357, 261 is 79821630.
2. How to calculate the LCM of 771, 870, 357, 261?
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 771, 870, 357, 261.
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}.