LCM of 711, 247, 553, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 247, 553, 357 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 711, 247, 553, 357. So, keep reading to learn more.
Given numbers are 711,247,553,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,247,553,357 is 20898423.
Find LCM of 711,247,553,357 with Prime Factorization
| 3 | 711, 247, 553, 357 |
| 7 | 237, 247, 553, 119 |
| 79 | 237, 247, 79, 17 |
| 3, 247, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 79 x 3 x 247 x 1 x 17 = 20898423
Therefore, the lowest common multiple of 711,247,553,357 is 20898423.
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.
711 x 247 x 553 x 357 = 34670483757
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.
711 : 1, 3, 9, 79, 237, 711
247 : 1, 13, 19, 247
553 : 1, 7, 79, 553
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,247,553,357, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
247:13x 19
553:7x 79
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 79 = 1659
Therefore, the value for common factors is 1659.
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 = 34670483757/(1x1659)
LCM = 34670483757/1659
LCM = 20898423
Thus, we can understand that the LCM of 711,247,553,357 is 20898423.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 711, 247, 553, 357
1. What is the LCM of 711, 247, 553, 357?
Answer: LCM of 711, 247, 553, 357 is 20898423.
2. How to calculate the LCM of 711, 247, 553, 357?
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 711, 247, 553, 357.
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}.