LCM of 953, 496, 322, 307
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 496, 322, 307 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 953, 496, 322, 307. So, keep reading to learn more.
Given numbers are 953,496,322,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,496,322,307 is 23363549776.
Find LCM of 953,496,322,307 with Prime Factorization
| 2 | 953, 496, 322, 307 |
| 953, 248, 161, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 953 x 248 x 161 x 307 = 23363549776
Therefore, the lowest common multiple of 953,496,322,307 is 23363549776.
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.
953 x 496 x 322 x 307 = 46727099552
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.
953 : 1, 953
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
322 : 1, 2, 7, 14, 23, 46, 161, 322
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,496,322,307, is 1.
Now, the common factors can be found like this.
953:953
496:2x 2x 2x 2x 31
322:2x 7x 23
307:307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 46727099552/(1x2)
LCM = 46727099552/2
LCM = 23363549776
Thus, we can understand that the LCM of 953,496,322,307 is 23363549776.
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FAQs on LCM of 953, 496, 322, 307
1. What is the LCM of 953, 496, 322, 307?
Answer: LCM of 953, 496, 322, 307 is 23363549776.
2. How to calculate the LCM of 953, 496, 322, 307?
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 953, 496, 322, 307.
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}.