Find the LCM of 298, 237, 874, 548 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, 237, 874, 548. So, keep reading to learn more.
Given numbers are 298,237,874,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,237,874,548 is 8456615988.
Find LCM of 298,237,874,548 with Prime Factorization
2 | 298, 237, 874, 548 |
149, 237, 437, 274 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 237 x 437 x 274 = 8456615988
Therefore, the lowest common multiple of 298,237,874,548 is 8456615988.
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 237 x 874 x 548 = 33826463952
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
237 : 1, 3, 79, 237
874 : 1, 2, 19, 23, 38, 46, 437, 874
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,237,874,548, is 1.
Now, the common factors can be found like this.
298:2x 149
237:3x 79
874:2x 19x 23
548:2x 2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 33826463952/(1x4)
LCM = 33826463952/4
LCM = 8456615988
Thus, we can understand that the LCM of 298,237,874,548 is 8456615988.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 298, 237, 874, 548?
Answer: LCM of 298, 237, 874, 548 is 8456615988.
2. How to calculate the LCM of 298, 237, 874, 548?
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, 237, 874, 548.
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}.