LCM of 918, 210, 319, 343, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 210, 319, 343, 378 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 918, 210, 319, 343, 378. So, keep reading to learn more.
Given numbers are 918,210,319,343,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,210,319,343,378 is 502224030.
Find LCM of 918,210,319,343,378 with Prime Factorization
| 2 | 918, 210, 319, 343, 378 |
| 3 | 459, 105, 319, 343, 189 |
| 3 | 153, 35, 319, 343, 63 |
| 3 | 51, 35, 319, 343, 21 |
| 7 | 17, 35, 319, 343, 7 |
| 17, 5, 319, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 17 x 5 x 319 x 49 x 1 = 502224030
Therefore, the lowest common multiple of 918,210,319,343,378 is 502224030.
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.
918 x 210 x 319 x 343 x 378 = 7973308700280
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
319 : 1, 11, 29, 319
343 : 1, 7, 49, 343
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,210,319,343,378, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
210:2x 3x 5x 7
319:11x 29
343:7x 7x 7
378:2x 3x 3x 3x 7
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 3x 3x 3x 7x 7 = 15876
Therefore, the value for common factors is 15876.
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 = 7973308700280/(1x15876)
LCM = 7973308700280/15876
LCM = 502224030
Thus, we can understand that the LCM of 918,210,319,343,378 is 502224030.
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FAQs on LCM of 918, 210, 319, 343, 378
1. What is the LCM of 918, 210, 319, 343, 378?
Answer: LCM of 918, 210, 319, 343, 378 is 502224030.
2. How to calculate the LCM of 918, 210, 319, 343, 378?
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 918, 210, 319, 343, 378.
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}.