LCM of 277, 346, 103, 865, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 346, 103, 865, 596 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 277, 346, 103, 865, 596. So, keep reading to learn more.
Given numbers are 277,346,103,865,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,346,103,865,596 is 14708871740.
Find LCM of 277,346,103,865,596 with Prime Factorization
| 2 | 277, 346, 103, 865, 596 |
| 173 | 277, 173, 103, 865, 298 |
| 277, 1, 103, 5, 298 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 277 x 1 x 103 x 5 x 298 = 14708871740
Therefore, the lowest common multiple of 277,346,103,865,596 is 14708871740.
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.
277 x 346 x 103 x 865 x 596 = 5089269622040
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.
277 : 1, 277
346 : 1, 2, 173, 346
103 : 1, 103
865 : 1, 5, 173, 865
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,346,103,865,596, is 1.
Now, the common factors can be found like this.
277:277
346:2x 173
103:103
865:5x 173
596:2x 2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 173 = 346
Therefore, the value for common factors is 346.
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 = 5089269622040/(1x346)
LCM = 5089269622040/346
LCM = 14708871740
Thus, we can understand that the LCM of 277,346,103,865,596 is 14708871740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 277, 346, 103, 865, 596
1. What is the LCM of 277, 346, 103, 865, 596?
Answer: LCM of 277, 346, 103, 865, 596 is 14708871740.
2. How to calculate the LCM of 277, 346, 103, 865, 596?
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 277, 346, 103, 865, 596.
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}.