LCM of 805, 708, 838, 413, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 708, 838, 413, 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 805, 708, 838, 413, 689. So, keep reading to learn more.
Given numbers are 805,708,838,413,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,708,838,413,689 is 164536548540.
Find LCM of 805,708,838,413,689 with Prime Factorization
| 2 | 805, 708, 838, 413, 689 |
| 7 | 805, 354, 419, 413, 689 |
| 59 | 115, 354, 419, 59, 689 |
| 115, 6, 419, 1, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 115 x 6 x 419 x 1 x 689 = 164536548540
Therefore, the lowest common multiple of 805,708,838,413,689 is 164536548540.
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.
805 x 708 x 838 x 413 x 689 = 135907189094040
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
838 : 1, 2, 419, 838
413 : 1, 7, 59, 413
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,708,838,413,689, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
708:2x 2x 3x 59
838:2x 419
413:7x 59
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 7x 59 = 826
Therefore, the value for common factors is 826.
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 = 135907189094040/(1x826)
LCM = 135907189094040/826
LCM = 164536548540
Thus, we can understand that the LCM of 805,708,838,413,689 is 164536548540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 805, 708, 838, 413, 689
1. What is the LCM of 805, 708, 838, 413, 689?
Answer: LCM of 805, 708, 838, 413, 689 is 164536548540.
2. How to calculate the LCM of 805, 708, 838, 413, 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 805, 708, 838, 413, 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}.