LCM of 298, 391, 924, 666, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 391, 924, 666, 743 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 298, 391, 924, 666, 743. So, keep reading to learn more.
Given numbers are 298,391,924,666,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,391,924,666,743 is 4439630124468.
Find LCM of 298,391,924,666,743 with Prime Factorization
| 2 | 298, 391, 924, 666, 743 |
| 3 | 149, 391, 462, 333, 743 |
| 149, 391, 154, 111, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 391 x 154 x 111 x 743 = 4439630124468
Therefore, the lowest common multiple of 298,391,924,666,743 is 4439630124468.
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.
298 x 391 x 924 x 666 x 743 = 53275561493616
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.
298 : 1, 2, 149, 298
391 : 1, 17, 23, 391
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,391,924,666,743, is 1.
Now, the common factors can be found like this.
298:2x 149
391:17x 23
924:2x 2x 3x 7x 11
666:2x 3x 3x 37
743:743
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 3 = 12
Therefore, the value for common factors is 12.
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 = 53275561493616/(1x12)
LCM = 53275561493616/12
LCM = 4439630124468
Thus, we can understand that the LCM of 298,391,924,666,743 is 4439630124468.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 298, 391, 924, 666, 743
1. What is the LCM of 298, 391, 924, 666, 743?
Answer: LCM of 298, 391, 924, 666, 743 is 4439630124468.
2. How to calculate the LCM of 298, 391, 924, 666, 743?
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 298, 391, 924, 666, 743.
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}.