LCM of 902, 875, 748, 495, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 875, 748, 495, 856 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 902, 875, 748, 495, 856. So, keep reading to learn more.
Given numbers are 902,875,748,495,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,875,748,495,856 is 51683247000.
Find LCM of 902,875,748,495,856 with Prime Factorization
| 2 | 902, 875, 748, 495, 856 |
| 2 | 451, 875, 374, 495, 428 |
| 5 | 451, 875, 187, 495, 214 |
| 11 | 451, 175, 187, 99, 214 |
| 41, 175, 17, 9, 214 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 41 x 175 x 17 x 9 x 214 = 51683247000
Therefore, the lowest common multiple of 902,875,748,495,856 is 51683247000.
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.
902 x 875 x 748 x 495 x 856 = 250146915480000
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
875 : 1, 5, 7, 25, 35, 125, 175, 875
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,875,748,495,856, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
875:5x 5x 5x 7
748:2x 2x 11x 17
495:3x 3x 5x 11
856:2x 2x 2x 107
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 11x 11 = 4840
Therefore, the value for common factors is 4840.
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 = 250146915480000/(1x4840)
LCM = 250146915480000/4840
LCM = 51683247000
Thus, we can understand that the LCM of 902,875,748,495,856 is 51683247000.
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FAQs on LCM of 902, 875, 748, 495, 856
1. What is the LCM of 902, 875, 748, 495, 856?
Answer: LCM of 902, 875, 748, 495, 856 is 51683247000.
2. How to calculate the LCM of 902, 875, 748, 495, 856?
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 902, 875, 748, 495, 856.
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}.