LCM of 902, 854, 638, 342, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 854, 638, 342, 735 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, 854, 638, 342, 735. So, keep reading to learn more.
Given numbers are 902,854,638,342,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,854,638,342,735 is 66849254010.
Find LCM of 902,854,638,342,735 with Prime Factorization
| 2 | 902, 854, 638, 342, 735 |
| 3 | 451, 427, 319, 171, 735 |
| 7 | 451, 427, 319, 57, 245 |
| 11 | 451, 61, 319, 57, 35 |
| 41, 61, 29, 57, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 41 x 61 x 29 x 57 x 35 = 66849254010
Therefore, the lowest common multiple of 902,854,638,342,735 is 66849254010.
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 854 x 638 x 342 x 735 = 123537421410480
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
854 : 1, 2, 7, 14, 61, 122, 427, 854
638 : 1, 2, 11, 22, 29, 58, 319, 638
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,854,638,342,735, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
854:2x 7x 61
638:2x 11x 29
342:2x 3x 3x 19
735:3x 5x 7x 7
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 3x 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 123537421410480/(1x1848)
LCM = 123537421410480/1848
LCM = 66849254010
Thus, we can understand that the LCM of 902,854,638,342,735 is 66849254010.
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FAQs on LCM of 902, 854, 638, 342, 735
1. What is the LCM of 902, 854, 638, 342, 735?
Answer: LCM of 902, 854, 638, 342, 735 is 66849254010.
2. How to calculate the LCM of 902, 854, 638, 342, 735?
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, 854, 638, 342, 735.
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}.