LCM of 695, 209, 766, 247, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 209, 766, 247, 418 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 695, 209, 766, 247, 418. So, keep reading to learn more.
Given numbers are 695,209,766,247,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,209,766,247,418 is 1446449290.
Find LCM of 695,209,766,247,418 with Prime Factorization
| 2 | 695, 209, 766, 247, 418 |
| 11 | 695, 209, 383, 247, 209 |
| 19 | 695, 19, 383, 247, 19 |
| 695, 1, 383, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 695 x 1 x 383 x 13 x 1 = 1446449290
Therefore, the lowest common multiple of 695,209,766,247,418 is 1446449290.
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.
695 x 209 x 766 x 247 x 418 = 11487700261180
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.
695 : 1, 5, 139, 695
209 : 1, 11, 19, 209
766 : 1, 2, 383, 766
247 : 1, 13, 19, 247
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,209,766,247,418, is 1.
Now, the common factors can be found like this.
695:5x 139
209:11x 19
766:2x 383
247:13x 19
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19x 19 = 7942
Therefore, the value for common factors is 7942.
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 = 11487700261180/(1x7942)
LCM = 11487700261180/7942
LCM = 1446449290
Thus, we can understand that the LCM of 695,209,766,247,418 is 1446449290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 209, 766, 247, 418
1. What is the LCM of 695, 209, 766, 247, 418?
Answer: LCM of 695, 209, 766, 247, 418 is 1446449290.
2. How to calculate the LCM of 695, 209, 766, 247, 418?
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 695, 209, 766, 247, 418.
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}.