LCM of 561, 714, 418, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 714, 418, 437 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 561, 714, 418, 437. So, keep reading to learn more.
Given numbers are 561,714,418,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,714,418,437 is 3432198.
Find LCM of 561,714,418,437 with Prime Factorization
| 2 | 561, 714, 418, 437 |
| 3 | 561, 357, 209, 437 |
| 11 | 187, 119, 209, 437 |
| 17 | 17, 119, 19, 437 |
| 19 | 1, 7, 19, 437 |
| 1, 7, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 19 x 1 x 7 x 1 x 23 = 3432198
Therefore, the lowest common multiple of 561,714,418,437 is 3432198.
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.
561 x 714 x 418 x 437 = 73167596964
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
418 : 1, 2, 11, 19, 22, 38, 209, 418
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,714,418,437, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
714:2x 3x 7x 17
418:2x 11x 19
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 17x 19 = 21318
Therefore, the value for common factors is 21318.
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 = 73167596964/(1x21318)
LCM = 73167596964/21318
LCM = 3432198
Thus, we can understand that the LCM of 561,714,418,437 is 3432198.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 714, 418, 437
1. What is the LCM of 561, 714, 418, 437?
Answer: LCM of 561, 714, 418, 437 is 3432198.
2. How to calculate the LCM of 561, 714, 418, 437?
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 561, 714, 418, 437.
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}.