LCM of 548, 310, 974, 895, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 310, 974, 895, 131 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 548, 310, 974, 895, 131. So, keep reading to learn more.
Given numbers are 548,310,974,895,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,310,974,895,131 is 969986175220.
Find LCM of 548,310,974,895,131 with Prime Factorization
| 2 | 548, 310, 974, 895, 131 |
| 5 | 274, 155, 487, 895, 131 |
| 274, 31, 487, 179, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 274 x 31 x 487 x 179 x 131 = 969986175220
Therefore, the lowest common multiple of 548,310,974,895,131 is 969986175220.
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.
548 x 310 x 974 x 895 x 131 = 19399723504400
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.
548 : 1, 2, 4, 137, 274, 548
310 : 1, 2, 5, 10, 31, 62, 155, 310
974 : 1, 2, 487, 974
895 : 1, 5, 179, 895
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,310,974,895,131, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
310:2x 5x 31
974:2x 487
895:5x 179
131:131
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 5 = 20
Therefore, the value for common factors is 20.
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 = 19399723504400/(1x20)
LCM = 19399723504400/20
LCM = 969986175220
Thus, we can understand that the LCM of 548,310,974,895,131 is 969986175220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 548, 310, 974, 895, 131
1. What is the LCM of 548, 310, 974, 895, 131?
Answer: LCM of 548, 310, 974, 895, 131 is 969986175220.
2. How to calculate the LCM of 548, 310, 974, 895, 131?
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 548, 310, 974, 895, 131.
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}.