LCM of 779, 918, 228, 856, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 918, 228, 856, 926 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 779, 918, 228, 856, 926. So, keep reading to learn more.
Given numbers are 779,918,228,856,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,918,228,856,926 is 141711436008.
Find LCM of 779,918,228,856,926 with Prime Factorization
| 2 | 779, 918, 228, 856, 926 |
| 2 | 779, 459, 114, 428, 463 |
| 3 | 779, 459, 57, 214, 463 |
| 19 | 779, 153, 19, 214, 463 |
| 41, 153, 1, 214, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 41 x 153 x 1 x 214 x 463 = 141711436008
Therefore, the lowest common multiple of 779,918,228,856,926 is 141711436008.
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.
779 x 918 x 228 x 856 x 926 = 129240829639296
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.
779 : 1, 19, 41, 779
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
856 : 1, 2, 4, 8, 107, 214, 428, 856
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,918,228,856,926, is 1.
Now, the common factors can be found like this.
779:19x 41
918:2x 3x 3x 3x 17
228:2x 2x 3x 19
856:2x 2x 2x 107
926:2x 463
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 2x 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 129240829639296/(1x912)
LCM = 129240829639296/912
LCM = 141711436008
Thus, we can understand that the LCM of 779,918,228,856,926 is 141711436008.
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FAQs on LCM of 779, 918, 228, 856, 926
1. What is the LCM of 779, 918, 228, 856, 926?
Answer: LCM of 779, 918, 228, 856, 926 is 141711436008.
2. How to calculate the LCM of 779, 918, 228, 856, 926?
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 779, 918, 228, 856, 926.
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}.