LCM of 102, 680, 379, 490, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 680, 379, 490, 946 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 102, 680, 379, 490, 946. So, keep reading to learn more.
Given numbers are 102,680,379,490,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,680,379,490,946 is 17919529320.
Find LCM of 102,680,379,490,946 with Prime Factorization
| 2 | 102, 680, 379, 490, 946 |
| 5 | 51, 340, 379, 245, 473 |
| 17 | 51, 68, 379, 49, 473 |
| 3, 4, 379, 49, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 3 x 4 x 379 x 49 x 473 = 17919529320
Therefore, the lowest common multiple of 102,680,379,490,946 is 17919529320.
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.
102 x 680 x 379 x 490 x 946 = 12185279937600
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
379 : 1, 379
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,680,379,490,946, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
680:2x 2x 2x 5x 17
379:379
490:2x 5x 7x 7
946:2x 11x 43
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 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 12185279937600/(1x680)
LCM = 12185279937600/680
LCM = 17919529320
Thus, we can understand that the LCM of 102,680,379,490,946 is 17919529320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 102, 680, 379, 490, 946
1. What is the LCM of 102, 680, 379, 490, 946?
Answer: LCM of 102, 680, 379, 490, 946 is 17919529320.
2. How to calculate the LCM of 102, 680, 379, 490, 946?
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 102, 680, 379, 490, 946.
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}.