LCM of 377, 748, 936, 918, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 748, 936, 918, 861 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 377, 748, 936, 918, 861. So, keep reading to learn more.
Given numbers are 377,748,936,918,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,748,936,918,861 is 4370374008.
Find LCM of 377,748,936,918,861 with Prime Factorization
| 2 | 377, 748, 936, 918, 861 |
| 2 | 377, 374, 468, 459, 861 |
| 3 | 377, 187, 234, 459, 861 |
| 3 | 377, 187, 78, 153, 287 |
| 13 | 377, 187, 26, 51, 287 |
| 17 | 29, 187, 2, 51, 287 |
| 29, 11, 2, 3, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 17 x 29 x 11 x 2 x 3 x 287 = 4370374008
Therefore, the lowest common multiple of 377,748,936,918,861 is 4370374008.
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.
377 x 748 x 936 x 918 x 861 = 208624173645888
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.
377 : 1, 13, 29, 377
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,748,936,918,861, is 1.
Now, the common factors can be found like this.
377:13x 29
748:2x 2x 11x 17
936:2x 2x 2x 3x 3x 13
918:2x 3x 3x 3x 17
861:3x 7x 41
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 3x 3x 3x 13x 17 = 47736
Therefore, the value for common factors is 47736.
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 = 208624173645888/(1x47736)
LCM = 208624173645888/47736
LCM = 4370374008
Thus, we can understand that the LCM of 377,748,936,918,861 is 4370374008.
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FAQs on LCM of 377, 748, 936, 918, 861
1. What is the LCM of 377, 748, 936, 918, 861?
Answer: LCM of 377, 748, 936, 918, 861 is 4370374008.
2. How to calculate the LCM of 377, 748, 936, 918, 861?
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 377, 748, 936, 918, 861.
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}.