LCM of 266, 289, 902, 610, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 289, 902, 610, 342 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 266, 289, 902, 610, 342. So, keep reading to learn more.
Given numbers are 266,289,902,610,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,289,902,610,342 is 95169627630.
Find LCM of 266,289,902,610,342 with Prime Factorization
| 2 | 266, 289, 902, 610, 342 |
| 19 | 133, 289, 451, 305, 171 |
| 7, 289, 451, 305, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 7 x 289 x 451 x 305 x 9 = 95169627630
Therefore, the lowest common multiple of 266,289,902,610,342 is 95169627630.
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.
266 x 289 x 902 x 610 x 342 = 14465783399760
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
289 : 1, 17, 289
902 : 1, 2, 11, 22, 41, 82, 451, 902
610 : 1, 2, 5, 10, 61, 122, 305, 610
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,289,902,610,342, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
289:17x 17
902:2x 11x 41
610:2x 5x 61
342:2x 3x 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 2x 19 = 152
Therefore, the value for common factors is 152.
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 = 14465783399760/(1x152)
LCM = 14465783399760/152
LCM = 95169627630
Thus, we can understand that the LCM of 266,289,902,610,342 is 95169627630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 266, 289, 902, 610, 342
1. What is the LCM of 266, 289, 902, 610, 342?
Answer: LCM of 266, 289, 902, 610, 342 is 95169627630.
2. How to calculate the LCM of 266, 289, 902, 610, 342?
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 266, 289, 902, 610, 342.
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}.