LCM of 868, 902, 595, 440, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 902, 595, 440, 785 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 868, 902, 595, 440, 785. So, keep reading to learn more.
Given numbers are 868,902,595,440,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,902,595,440,785 is 10448280920.
Find LCM of 868,902,595,440,785 with Prime Factorization
| 2 | 868, 902, 595, 440, 785 |
| 2 | 434, 451, 595, 220, 785 |
| 5 | 217, 451, 595, 110, 785 |
| 7 | 217, 451, 119, 22, 157 |
| 11 | 31, 451, 17, 22, 157 |
| 31, 41, 17, 2, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 31 x 41 x 17 x 2 x 157 = 10448280920
Therefore, the lowest common multiple of 868,902,595,440,785 is 10448280920.
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.
868 x 902 x 595 x 440 x 785 = 160903526168000
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
902 : 1, 2, 11, 22, 41, 82, 451, 902
595 : 1, 5, 7, 17, 35, 85, 119, 595
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,902,595,440,785, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
902:2x 11x 41
595:5x 7x 17
440:2x 2x 2x 5x 11
785:5x 157
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 5x 5x 7x 11 = 15400
Therefore, the value for common factors is 15400.
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 = 160903526168000/(1x15400)
LCM = 160903526168000/15400
LCM = 10448280920
Thus, we can understand that the LCM of 868,902,595,440,785 is 10448280920.
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FAQs on LCM of 868, 902, 595, 440, 785
1. What is the LCM of 868, 902, 595, 440, 785?
Answer: LCM of 868, 902, 595, 440, 785 is 10448280920.
2. How to calculate the LCM of 868, 902, 595, 440, 785?
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 868, 902, 595, 440, 785.
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}.