LCM of 805, 817, 655, 901, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 817, 655, 901, 630 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, 817, 655, 901, 630. So, keep reading to learn more.
Given numbers are 805,817,655,901,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,817,655,901,630 is 1397289928230.
Find LCM of 805,817,655,901,630 with Prime Factorization
| 5 | 805, 817, 655, 901, 630 |
| 7 | 161, 817, 131, 901, 126 |
| 23, 817, 131, 901, 18 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 23 x 817 x 131 x 901 x 18 = 1397289928230
Therefore, the lowest common multiple of 805,817,655,901,630 is 1397289928230.
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 817 x 655 x 901 x 630 = 244525737440250
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
817 : 1, 19, 43, 817
655 : 1, 5, 131, 655
901 : 1, 17, 53, 901
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,817,655,901,630, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
817:19x 43
655:5x 131
901:17x 53
630:2x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7 = 175
Therefore, the value for common factors is 175.
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 = 244525737440250/(1x175)
LCM = 244525737440250/175
LCM = 1397289928230
Thus, we can understand that the LCM of 805,817,655,901,630 is 1397289928230.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 805, 817, 655, 901, 630
1. What is the LCM of 805, 817, 655, 901, 630?
Answer: LCM of 805, 817, 655, 901, 630 is 1397289928230.
2. How to calculate the LCM of 805, 817, 655, 901, 630?
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, 817, 655, 901, 630.
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}.