LCM of 137, 303, 880, 312, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 137, 303, 880, 312, 967 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 137, 303, 880, 312, 967. So, keep reading to learn more.
Given numbers are 137,303,880,312,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 137,303,880,312,967 is 459214607280.
Find LCM of 137,303,880,312,967 with Prime Factorization
| 2 | 137, 303, 880, 312, 967 |
| 2 | 137, 303, 440, 156, 967 |
| 2 | 137, 303, 220, 78, 967 |
| 3 | 137, 303, 110, 39, 967 |
| 137, 101, 110, 13, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 137 x 101 x 110 x 13 x 967 = 459214607280
Therefore, the lowest common multiple of 137,303,880,312,967 is 459214607280.
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.
137 x 303 x 880 x 312 x 967 = 11021150574720
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.
137 : 1, 137
303 : 1, 3, 101, 303
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,303,880,312,967, is 1.
Now, the common factors can be found like this.
137:137
303:3x 101
880:2x 2x 2x 2x 5x 11
312:2x 2x 2x 3x 13
967:967
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 3 = 24
Therefore, the value for common factors is 24.
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 = 11021150574720/(1x24)
LCM = 11021150574720/24
LCM = 459214607280
Thus, we can understand that the LCM of 137,303,880,312,967 is 459214607280.
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FAQs on LCM of 137, 303, 880, 312, 967
1. What is the LCM of 137, 303, 880, 312, 967?
Answer: LCM of 137, 303, 880, 312, 967 is 459214607280.
2. How to calculate the LCM of 137, 303, 880, 312, 967?
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 137, 303, 880, 312, 967.
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}.