LCM of 461, 158, 274, 553, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 461, 158, 274, 553, 949 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 461, 158, 274, 553, 949. So, keep reading to learn more.
Given numbers are 461,158,274,553,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,158,274,553,949 is 66289208258.
Find LCM of 461,158,274,553,949 with Prime Factorization
| 2 | 461, 158, 274, 553, 949 |
| 79 | 461, 79, 137, 553, 949 |
| 461, 1, 137, 7, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 461 x 1 x 137 x 7 x 949 = 66289208258
Therefore, the lowest common multiple of 461,158,274,553,949 is 66289208258.
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.
461 x 158 x 274 x 553 x 949 = 10473694904764
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.
461 : 1, 461
158 : 1, 2, 79, 158
274 : 1, 2, 137, 274
553 : 1, 7, 79, 553
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,158,274,553,949, is 1.
Now, the common factors can be found like this.
461:461
158:2x 79
274:2x 137
553:7x 79
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 79 = 158
Therefore, the value for common factors is 158.
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 = 10473694904764/(1x158)
LCM = 10473694904764/158
LCM = 66289208258
Thus, we can understand that the LCM of 461,158,274,553,949 is 66289208258.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 461, 158, 274, 553, 949
1. What is the LCM of 461, 158, 274, 553, 949?
Answer: LCM of 461, 158, 274, 553, 949 is 66289208258.
2. How to calculate the LCM of 461, 158, 274, 553, 949?
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 461, 158, 274, 553, 949.
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}.