LCM of 319, 210, 786, 221, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 210, 786, 221, 228 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 319, 210, 786, 221, 228. So, keep reading to learn more.
Given numbers are 319,210,786,221,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,210,786,221,228 is 73698244620.
Find LCM of 319,210,786,221,228 with Prime Factorization
| 2 | 319, 210, 786, 221, 228 |
| 3 | 319, 105, 393, 221, 114 |
| 319, 35, 131, 221, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 319 x 35 x 131 x 221 x 38 = 73698244620
Therefore, the lowest common multiple of 319,210,786,221,228 is 73698244620.
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.
319 x 210 x 786 x 221 x 228 = 2653136806320
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.
319 : 1, 11, 29, 319
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
786 : 1, 2, 3, 6, 131, 262, 393, 786
221 : 1, 13, 17, 221
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,210,786,221,228, is 1.
Now, the common factors can be found like this.
319:11x 29
210:2x 3x 5x 7
786:2x 3x 131
221:13x 17
228:2x 2x 3x 19
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 2653136806320/(1x36)
LCM = 2653136806320/36
LCM = 73698244620
Thus, we can understand that the LCM of 319,210,786,221,228 is 73698244620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 210, 786, 221, 228
1. What is the LCM of 319, 210, 786, 221, 228?
Answer: LCM of 319, 210, 786, 221, 228 is 73698244620.
2. How to calculate the LCM of 319, 210, 786, 221, 228?
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 319, 210, 786, 221, 228.
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}.