LCM of 952, 969, 397, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 969, 397, 301 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 952, 969, 397, 301. So, keep reading to learn more.
Given numbers are 952,969,397,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,969,397,301 is 926340744.
Find LCM of 952,969,397,301 with Prime Factorization
| 7 | 952, 969, 397, 301 |
| 17 | 136, 969, 397, 43 |
| 8, 57, 397, 43 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 8 x 57 x 397 x 43 = 926340744
Therefore, the lowest common multiple of 952,969,397,301 is 926340744.
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.
952 x 969 x 397 x 301 = 110234548536
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
969 : 1, 3, 17, 19, 51, 57, 323, 969
397 : 1, 397
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,969,397,301, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
969:3x 17x 19
397:397
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 110234548536/(1x119)
LCM = 110234548536/119
LCM = 926340744
Thus, we can understand that the LCM of 952,969,397,301 is 926340744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 952, 969, 397, 301
1. What is the LCM of 952, 969, 397, 301?
Answer: LCM of 952, 969, 397, 301 is 926340744.
2. How to calculate the LCM of 952, 969, 397, 301?
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 952, 969, 397, 301.
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}.