LCM of 368, 916, 722, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 916, 722, 874 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 368, 916, 722, 874. So, keep reading to learn more.
Given numbers are 368,916,722,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,916,722,874 is 30422192.
Find LCM of 368,916,722,874 with Prime Factorization
| 2 | 368, 916, 722, 874 |
| 2 | 184, 458, 361, 437 |
| 19 | 92, 229, 361, 437 |
| 23 | 92, 229, 19, 23 |
| 4, 229, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 4 x 229 x 19 x 1 = 30422192
Therefore, the lowest common multiple of 368,916,722,874 is 30422192.
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.
368 x 916 x 722 x 874 = 212711966464
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
916 : 1, 2, 4, 229, 458, 916
722 : 1, 2, 19, 38, 361, 722
874 : 1, 2, 19, 23, 38, 46, 437, 874
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,916,722,874, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
916:2x 2x 229
722:2x 19x 19
874:2x 19x 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 19x 23 = 3496
Therefore, the value for common factors is 3496.
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 = 212711966464/(2x3496)
LCM = 212711966464/6992
LCM = 30422192
Thus, we can understand that the LCM of 368,916,722,874 is 30422192.
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FAQs on LCM of 368, 916, 722, 874
1. What is the LCM of 368, 916, 722, 874?
Answer: LCM of 368, 916, 722, 874 is 30422192.
2. How to calculate the LCM of 368, 916, 722, 874?
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 368, 916, 722, 874.
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}.