LCM of 948, 961, 786, 364, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 961, 786, 364, 220 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 948, 961, 786, 364, 220. So, keep reading to learn more.
Given numbers are 948,961,786,364,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,961,786,364,220 is 597320063340.
Find LCM of 948,961,786,364,220 with Prime Factorization
| 2 | 948, 961, 786, 364, 220 |
| 2 | 474, 961, 393, 182, 110 |
| 3 | 237, 961, 393, 91, 55 |
| 79, 961, 131, 91, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 961 x 131 x 91 x 55 = 597320063340
Therefore, the lowest common multiple of 948,961,786,364,220 is 597320063340.
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.
948 x 961 x 786 x 364 x 220 = 57342726080640
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
961 : 1, 31, 961
786 : 1, 2, 3, 6, 131, 262, 393, 786
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,961,786,364,220, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
961:31x 31
786:2x 3x 131
364:2x 2x 7x 13
220:2x 2x 5x 11
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 57342726080640/(1x96)
LCM = 57342726080640/96
LCM = 597320063340
Thus, we can understand that the LCM of 948,961,786,364,220 is 597320063340.
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FAQs on LCM of 948, 961, 786, 364, 220
1. What is the LCM of 948, 961, 786, 364, 220?
Answer: LCM of 948, 961, 786, 364, 220 is 597320063340.
2. How to calculate the LCM of 948, 961, 786, 364, 220?
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 948, 961, 786, 364, 220.
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}.