LCM of 278, 187, 293, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 187, 293, 102 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 278, 187, 293, 102. So, keep reading to learn more.
Given numbers are 278,187,293,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,187,293,102 is 45695694.
Find LCM of 278,187,293,102 with Prime Factorization
| 2 | 278, 187, 293, 102 |
| 17 | 139, 187, 293, 51 |
| 139, 11, 293, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 139 x 11 x 293 x 3 = 45695694
Therefore, the lowest common multiple of 278,187,293,102 is 45695694.
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.
278 x 187 x 293 x 102 = 1553653596
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.
278 : 1, 2, 139, 278
187 : 1, 11, 17, 187
293 : 1, 293
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,187,293,102, is 1.
Now, the common factors can be found like this.
278:2x 139
187:11x 17
293:293
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 1553653596/(1x34)
LCM = 1553653596/34
LCM = 45695694
Thus, we can understand that the LCM of 278,187,293,102 is 45695694.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 187, 293, 102
1. What is the LCM of 278, 187, 293, 102?
Answer: LCM of 278, 187, 293, 102 is 45695694.
2. How to calculate the LCM of 278, 187, 293, 102?
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 278, 187, 293, 102.
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}.