LCM of 950, 647, 140, 892, 656
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 647, 140, 892, 656 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 950, 647, 140, 892, 656. So, keep reading to learn more.
Given numbers are 950,647,140,892,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,647,140,892,656 is 314705717200.
Find LCM of 950,647,140,892,656 with Prime Factorization
| 2 | 950, 647, 140, 892, 656 |
| 2 | 475, 647, 70, 446, 328 |
| 5 | 475, 647, 35, 223, 164 |
| 95, 647, 7, 223, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 95 x 647 x 7 x 223 x 164 = 314705717200
Therefore, the lowest common multiple of 950,647,140,892,656 is 314705717200.
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.
950 x 647 x 140 x 892 x 656 = 50352914752000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
647 : 1, 647
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
892 : 1, 2, 4, 223, 446, 892
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,647,140,892,656, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
647:647
140:2x 2x 5x 7
892:2x 2x 223
656:2x 2x 2x 2x 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 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 50352914752000/(1x160)
LCM = 50352914752000/160
LCM = 314705717200
Thus, we can understand that the LCM of 950,647,140,892,656 is 314705717200.
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FAQs on LCM of 950, 647, 140, 892, 656
1. What is the LCM of 950, 647, 140, 892, 656?
Answer: LCM of 950, 647, 140, 892, 656 is 314705717200.
2. How to calculate the LCM of 950, 647, 140, 892, 656?
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 950, 647, 140, 892, 656.
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}.