LCM of 924, 506, 574, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 506, 574, 878 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 924, 506, 574, 878. So, keep reading to learn more.
Given numbers are 924,506,574,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,506,574,878 is 382514748.
Find LCM of 924,506,574,878 with Prime Factorization
| 2 | 924, 506, 574, 878 |
| 7 | 462, 253, 287, 439 |
| 11 | 66, 253, 41, 439 |
| 6, 23, 41, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 6 x 23 x 41 x 439 = 382514748
Therefore, the lowest common multiple of 924,506,574,878 is 382514748.
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.
924 x 506 x 574 x 878 = 235629084768
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.
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
574 : 1, 2, 7, 14, 41, 82, 287, 574
878 : 1, 2, 439, 878
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,506,574,878, is 2.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
506:2x 11x 23
574:2x 7x 41
878:2x 439
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 235629084768/(2x308)
LCM = 235629084768/616
LCM = 382514748
Thus, we can understand that the LCM of 924,506,574,878 is 382514748.
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FAQs on LCM of 924, 506, 574, 878
1. What is the LCM of 924, 506, 574, 878?
Answer: LCM of 924, 506, 574, 878 is 382514748.
2. How to calculate the LCM of 924, 506, 574, 878?
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 924, 506, 574, 878.
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}.