LCM of 955, 334, 946, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 334, 946, 565 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 955, 334, 946, 565. So, keep reading to learn more.
Given numbers are 955,334,946,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,334,946,565 is 17048627530.
Find LCM of 955,334,946,565 with Prime Factorization
| 2 | 955, 334, 946, 565 |
| 5 | 955, 167, 473, 565 |
| 191, 167, 473, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 191 x 167 x 473 x 113 = 17048627530
Therefore, the lowest common multiple of 955,334,946,565 is 17048627530.
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.
955 x 334 x 946 x 565 = 170486275300
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.
955 : 1, 5, 191, 955
334 : 1, 2, 167, 334
946 : 1, 2, 11, 22, 43, 86, 473, 946
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,334,946,565, is 1.
Now, the common factors can be found like this.
955:5x 191
334:2x 167
946:2x 11x 43
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 170486275300/(1x10)
LCM = 170486275300/10
LCM = 17048627530
Thus, we can understand that the LCM of 955,334,946,565 is 17048627530.
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FAQs on LCM of 955, 334, 946, 565
1. What is the LCM of 955, 334, 946, 565?
Answer: LCM of 955, 334, 946, 565 is 17048627530.
2. How to calculate the LCM of 955, 334, 946, 565?
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 955, 334, 946, 565.
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}.