LCM of 670, 598, 728, 833, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 598, 728, 833, 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 670, 598, 728, 833, 894. So, keep reading to learn more.
Given numbers are 670,598,728,833,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,598,728,833,894 is 298372303320.
Find LCM of 670,598,728,833,894 with Prime Factorization
| 2 | 670, 598, 728, 833, 894 |
| 7 | 335, 299, 364, 833, 447 |
| 13 | 335, 299, 52, 119, 447 |
| 335, 23, 4, 119, 447 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 335 x 23 x 4 x 119 x 447 = 298372303320
Therefore, the lowest common multiple of 670,598,728,833,894 is 298372303320.
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.
670 x 598 x 728 x 833 x 894 = 217215036816960
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
598 : 1, 2, 13, 23, 26, 46, 299, 598
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
833 : 1, 7, 17, 49, 119, 833
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 670,598,728,833,894, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
598:2x 13x 23
728:2x 2x 2x 7x 13
833:7x 7x 17
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 2x 7x 13 = 728
Therefore, the value for common factors is 728.
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 = 217215036816960/(1x728)
LCM = 217215036816960/728
LCM = 298372303320
Thus, we can understand that the LCM of 670,598,728,833,894 is 298372303320.
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FAQs on LCM of 670, 598, 728, 833, 894
1. What is the LCM of 670, 598, 728, 833, 894?
Answer: LCM of 670, 598, 728, 833, 894 is 298372303320.
2. How to calculate the LCM of 670, 598, 728, 833, 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 670, 598, 728, 833, 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}.