LCM of 776, 970, 942, 890, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 970, 942, 890, 418 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 776, 970, 942, 890, 418. So, keep reading to learn more.
Given numbers are 776,970,942,890,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,970,942,890,418 is 33992955480.
Find LCM of 776,970,942,890,418 with Prime Factorization
| 2 | 776, 970, 942, 890, 418 |
| 5 | 388, 485, 471, 445, 209 |
| 97 | 388, 97, 471, 89, 209 |
| 4, 1, 471, 89, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 97 x 4 x 1 x 471 x 89 x 209 = 33992955480
Therefore, the lowest common multiple of 776,970,942,890,418 is 33992955480.
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.
776 x 970 x 942 x 890 x 418 = 263785334524800
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
970 : 1, 2, 5, 10, 97, 194, 485, 970
942 : 1, 2, 3, 6, 157, 314, 471, 942
890 : 1, 2, 5, 10, 89, 178, 445, 890
418 : 1, 2, 11, 19, 22, 38, 209, 418
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,970,942,890,418, is 2.
Now, the common factors can be found like this.
776:2x 2x 2x 97
970:2x 5x 97
942:2x 3x 157
890:2x 5x 89
418:2x 11x 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 5x 97 = 3880
Therefore, the value for common factors is 3880.
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 = 263785334524800/(2x3880)
LCM = 263785334524800/7760
LCM = 33992955480
Thus, we can understand that the LCM of 776,970,942,890,418 is 33992955480.
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FAQs on LCM of 776, 970, 942, 890, 418
1. What is the LCM of 776, 970, 942, 890, 418?
Answer: LCM of 776, 970, 942, 890, 418 is 33992955480.
2. How to calculate the LCM of 776, 970, 942, 890, 418?
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 776, 970, 942, 890, 418.
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}.