LCM of 929, 209, 723, 494, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 929, 209, 723, 494, 724 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 929, 209, 723, 494, 724. So, keep reading to learn more.
Given numbers are 929,209,723,494,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,209,723,494,724 is 1321241529036.
Find LCM of 929,209,723,494,724 with Prime Factorization
| 2 | 929, 209, 723, 494, 724 |
| 19 | 929, 209, 723, 247, 362 |
| 929, 11, 723, 13, 362 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 929 x 11 x 723 x 13 x 362 = 1321241529036
Therefore, the lowest common multiple of 929,209,723,494,724 is 1321241529036.
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.
929 x 209 x 723 x 494 x 724 = 50207178103368
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.
929 : 1, 929
209 : 1, 11, 19, 209
723 : 1, 3, 241, 723
494 : 1, 2, 13, 19, 26, 38, 247, 494
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 929,209,723,494,724, is 1.
Now, the common factors can be found like this.
929:929
209:11x 19
723:3x 241
494:2x 13x 19
724:2x 2x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 50207178103368/(1x38)
LCM = 50207178103368/38
LCM = 1321241529036
Thus, we can understand that the LCM of 929,209,723,494,724 is 1321241529036.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 929, 209, 723, 494, 724
1. What is the LCM of 929, 209, 723, 494, 724?
Answer: LCM of 929, 209, 723, 494, 724 is 1321241529036.
2. How to calculate the LCM of 929, 209, 723, 494, 724?
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 929, 209, 723, 494, 724.
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}.