LCM of 695, 832, 894, 598, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 832, 894, 598, 689 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 695, 832, 894, 598, 689. So, keep reading to learn more.
Given numbers are 695,832,894,598,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,832,894,598,689 is 315078928320.
Find LCM of 695,832,894,598,689 with Prime Factorization
| 2 | 695, 832, 894, 598, 689 |
| 13 | 695, 416, 447, 299, 689 |
| 695, 32, 447, 23, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 695 x 32 x 447 x 23 x 53 = 315078928320
Therefore, the lowest common multiple of 695,832,894,598,689 is 315078928320.
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.
695 x 832 x 894 x 598 x 689 = 212993355544320
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.
695 : 1, 5, 139, 695
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
894 : 1, 2, 3, 6, 149, 298, 447, 894
598 : 1, 2, 13, 23, 26, 46, 299, 598
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,832,894,598,689, is 1.
Now, the common factors can be found like this.
695:5x 139
832:2x 2x 2x 2x 2x 2x 13
894:2x 3x 149
598:2x 13x 23
689:13x 53
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 212993355544320/(1x676)
LCM = 212993355544320/676
LCM = 315078928320
Thus, we can understand that the LCM of 695,832,894,598,689 is 315078928320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 832, 894, 598, 689
1. What is the LCM of 695, 832, 894, 598, 689?
Answer: LCM of 695, 832, 894, 598, 689 is 315078928320.
2. How to calculate the LCM of 695, 832, 894, 598, 689?
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 695, 832, 894, 598, 689.
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}.