LCM of 841, 690, 598, 867, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 690, 598, 867, 314 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 841, 690, 598, 867, 314. So, keep reading to learn more.
Given numbers are 841,690,598,867,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,690,598,867,314 is 342283476210.
Find LCM of 841,690,598,867,314 with Prime Factorization
| 2 | 841, 690, 598, 867, 314 |
| 3 | 841, 345, 299, 867, 157 |
| 23 | 841, 115, 299, 289, 157 |
| 841, 5, 13, 289, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 841 x 5 x 13 x 289 x 157 = 342283476210
Therefore, the lowest common multiple of 841,690,598,867,314 is 342283476210.
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.
841 x 690 x 598 x 867 x 314 = 94470239433960
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.
841 : 1, 29, 841
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
598 : 1, 2, 13, 23, 26, 46, 299, 598
867 : 1, 3, 17, 51, 289, 867
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,690,598,867,314, is 1.
Now, the common factors can be found like this.
841:29x 29
690:2x 3x 5x 23
598:2x 13x 23
867:3x 17x 17
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 94470239433960/(1x276)
LCM = 94470239433960/276
LCM = 342283476210
Thus, we can understand that the LCM of 841,690,598,867,314 is 342283476210.
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FAQs on LCM of 841, 690, 598, 867, 314
1. What is the LCM of 841, 690, 598, 867, 314?
Answer: LCM of 841, 690, 598, 867, 314 is 342283476210.
2. How to calculate the LCM of 841, 690, 598, 867, 314?
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 841, 690, 598, 867, 314.
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}.