LCM of 677, 970, 596, 365, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 970, 596, 365, 894 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 677, 970, 596, 365, 894. So, keep reading to learn more.
Given numbers are 677,970,596,365,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,970,596,365,894 is 42856902780.
Find LCM of 677,970,596,365,894 with Prime Factorization
| 2 | 677, 970, 596, 365, 894 |
| 5 | 677, 485, 298, 365, 447 |
| 149 | 677, 97, 298, 73, 447 |
| 677, 97, 2, 73, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 149 x 677 x 97 x 2 x 73 x 3 = 42856902780
Therefore, the lowest common multiple of 677,970,596,365,894 is 42856902780.
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.
677 x 970 x 596 x 365 x 894 = 127713570284400
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.
677 : 1, 677
970 : 1, 2, 5, 10, 97, 194, 485, 970
596 : 1, 2, 4, 149, 298, 596
365 : 1, 5, 73, 365
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,970,596,365,894, is 1.
Now, the common factors can be found like this.
677:677
970:2x 5x 97
596:2x 2x 149
365:5x 73
894:2x 3x 149
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 5x 149 = 2980
Therefore, the value for common factors is 2980.
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 = 127713570284400/(1x2980)
LCM = 127713570284400/2980
LCM = 42856902780
Thus, we can understand that the LCM of 677,970,596,365,894 is 42856902780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 677, 970, 596, 365, 894
1. What is the LCM of 677, 970, 596, 365, 894?
Answer: LCM of 677, 970, 596, 365, 894 is 42856902780.
2. How to calculate the LCM of 677, 970, 596, 365, 894?
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 677, 970, 596, 365, 894.
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}.