LCM of 958, 970, 424, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 958, 970, 424, 318 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 958, 970, 424, 318. So, keep reading to learn more.
Given numbers are 958,970,424,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 958,970,424,318 is 295504680.
Find LCM of 958,970,424,318 with Prime Factorization
| 2 | 958, 970, 424, 318 |
| 53 | 479, 485, 212, 159 |
| 479, 485, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 479 x 485 x 4 x 3 = 295504680
Therefore, the lowest common multiple of 958,970,424,318 is 295504680.
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.
958 x 970 x 424 x 318 = 125293984320
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.
958 : 1, 2, 479, 958
970 : 1, 2, 5, 10, 97, 194, 485, 970
424 : 1, 2, 4, 8, 53, 106, 212, 424
318 : 1, 2, 3, 6, 53, 106, 159, 318
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,970,424,318, is 2.
Now, the common factors can be found like this.
958:2x 479
970:2x 5x 97
424:2x 2x 2x 53
318:2x 3x 53
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 53 = 212
Therefore, the value for common factors is 212.
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 = 125293984320/(2x212)
LCM = 125293984320/424
LCM = 295504680
Thus, we can understand that the LCM of 958,970,424,318 is 295504680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 958, 970, 424, 318
1. What is the LCM of 958, 970, 424, 318?
Answer: LCM of 958, 970, 424, 318 is 295504680.
2. How to calculate the LCM of 958, 970, 424, 318?
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 958, 970, 424, 318.
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}.