LCM of 874, 308, 974, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 308, 974, 920 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 874, 308, 974, 920. So, keep reading to learn more.
Given numbers are 874,308,974,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,308,974,920 is 655482520.
Find LCM of 874,308,974,920 with Prime Factorization
| 2 | 874, 308, 974, 920 |
| 2 | 437, 154, 487, 460 |
| 23 | 437, 77, 487, 230 |
| 19, 77, 487, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 19 x 77 x 487 x 10 = 655482520
Therefore, the lowest common multiple of 874,308,974,920 is 655482520.
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.
874 x 308 x 974 x 920 = 241217567360
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
974 : 1, 2, 487, 974
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,308,974,920, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
308:2x 2x 7x 11
974:2x 487
920:2x 2x 2x 5x 23
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 2x 23 = 184
Therefore, the value for common factors is 184.
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 = 241217567360/(2x184)
LCM = 241217567360/368
LCM = 655482520
Thus, we can understand that the LCM of 874,308,974,920 is 655482520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 308, 974, 920
1. What is the LCM of 874, 308, 974, 920?
Answer: LCM of 874, 308, 974, 920 is 655482520.
2. How to calculate the LCM of 874, 308, 974, 920?
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 874, 308, 974, 920.
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}.