LCM of 942, 465, 271, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 465, 271, 995 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 942, 465, 271, 995. So, keep reading to learn more.
Given numbers are 942,465,271,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,465,271,995 is 7874173290.
Find LCM of 942,465,271,995 with Prime Factorization
| 3 | 942, 465, 271, 995 |
| 5 | 314, 155, 271, 995 |
| 314, 31, 271, 199 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 314 x 31 x 271 x 199 = 7874173290
Therefore, the lowest common multiple of 942,465,271,995 is 7874173290.
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.
942 x 465 x 271 x 995 = 118112599350
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
465 : 1, 3, 5, 15, 31, 93, 155, 465
271 : 1, 271
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,465,271,995, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
465:3x 5x 31
271:271
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 118112599350/(1x15)
LCM = 118112599350/15
LCM = 7874173290
Thus, we can understand that the LCM of 942,465,271,995 is 7874173290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 942, 465, 271, 995
1. What is the LCM of 942, 465, 271, 995?
Answer: LCM of 942, 465, 271, 995 is 7874173290.
2. How to calculate the LCM of 942, 465, 271, 995?
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 942, 465, 271, 995.
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}.