LCM of 291, 830, 368, 137, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 830, 368, 137, 952 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 291, 830, 368, 137, 952. So, keep reading to learn more.
Given numbers are 291,830,368,137,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,830,368,137,952 is 724530100560.
Find LCM of 291,830,368,137,952 with Prime Factorization
| 2 | 291, 830, 368, 137, 952 |
| 2 | 291, 415, 184, 137, 476 |
| 2 | 291, 415, 92, 137, 238 |
| 291, 415, 46, 137, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 291 x 415 x 46 x 137 x 119 = 724530100560
Therefore, the lowest common multiple of 291,830,368,137,952 is 724530100560.
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.
291 x 830 x 368 x 137 x 952 = 11592481608960
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.
291 : 1, 3, 97, 291
830 : 1, 2, 5, 10, 83, 166, 415, 830
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
137 : 1, 137
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,830,368,137,952, is 1.
Now, the common factors can be found like this.
291:3x 97
830:2x 5x 83
368:2x 2x 2x 2x 23
137:137
952:2x 2x 2x 7x 17
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 11592481608960/(1x16)
LCM = 11592481608960/16
LCM = 724530100560
Thus, we can understand that the LCM of 291,830,368,137,952 is 724530100560.
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FAQs on LCM of 291, 830, 368, 137, 952
1. What is the LCM of 291, 830, 368, 137, 952?
Answer: LCM of 291, 830, 368, 137, 952 is 724530100560.
2. How to calculate the LCM of 291, 830, 368, 137, 952?
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 291, 830, 368, 137, 952.
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}.