LCM of 703, 830, 506, 705, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 830, 506, 705, 867 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 703, 830, 506, 705, 867. So, keep reading to learn more.
Given numbers are 703,830,506,705,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,830,506,705,867 is 6015488404530.
Find LCM of 703,830,506,705,867 with Prime Factorization
| 2 | 703, 830, 506, 705, 867 |
| 3 | 703, 415, 253, 705, 867 |
| 5 | 703, 415, 253, 235, 289 |
| 703, 83, 253, 47, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 703 x 83 x 253 x 47 x 289 = 6015488404530
Therefore, the lowest common multiple of 703,830,506,705,867 is 6015488404530.
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.
703 x 830 x 506 x 705 x 867 = 180464652135900
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.
703 : 1, 19, 37, 703
830 : 1, 2, 5, 10, 83, 166, 415, 830
506 : 1, 2, 11, 22, 23, 46, 253, 506
705 : 1, 3, 5, 15, 47, 141, 235, 705
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,830,506,705,867, is 1.
Now, the common factors can be found like this.
703:19x 37
830:2x 5x 83
506:2x 11x 23
705:3x 5x 47
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 180464652135900/(1x30)
LCM = 180464652135900/30
LCM = 6015488404530
Thus, we can understand that the LCM of 703,830,506,705,867 is 6015488404530.
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FAQs on LCM of 703, 830, 506, 705, 867
1. What is the LCM of 703, 830, 506, 705, 867?
Answer: LCM of 703, 830, 506, 705, 867 is 6015488404530.
2. How to calculate the LCM of 703, 830, 506, 705, 867?
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 703, 830, 506, 705, 867.
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}.