LCM of 298, 407, 894, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 407, 894, 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 298, 407, 894, 878. So, keep reading to learn more.
Given numbers are 298,407,894,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,407,894,878 is 159733662.
Find LCM of 298,407,894,878 with Prime Factorization
| 2 | 298, 407, 894, 878 |
| 149 | 149, 407, 447, 439 |
| 1, 407, 3, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 1 x 407 x 3 x 439 = 159733662
Therefore, the lowest common multiple of 298,407,894,878 is 159733662.
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 407 x 894 x 878 = 95201262552
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
407 : 1, 11, 37, 407
894 : 1, 2, 3, 6, 149, 298, 447, 894
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,407,894,878, is 1.
Now, the common factors can be found like this.
298:2x 149
407:11x 37
894:2x 3x 149
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 149 = 596
Therefore, the value for common factors is 596.
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 = 95201262552/(1x596)
LCM = 95201262552/596
LCM = 159733662
Thus, we can understand that the LCM of 298,407,894,878 is 159733662.
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FAQs on LCM of 298, 407, 894, 878
1. What is the LCM of 298, 407, 894, 878?
Answer: LCM of 298, 407, 894, 878 is 159733662.
2. How to calculate the LCM of 298, 407, 894, 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 298, 407, 894, 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}.