LCM of 906, 195, 402, 942, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 195, 402, 942, 703 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 906, 195, 402, 942, 703. So, keep reading to learn more.
Given numbers are 906,195,402,942,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,195,402,942,703 is 435483128730.
Find LCM of 906,195,402,942,703 with Prime Factorization
| 2 | 906, 195, 402, 942, 703 |
| 3 | 453, 195, 201, 471, 703 |
| 151, 65, 67, 157, 703 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 65 x 67 x 157 x 703 = 435483128730
Therefore, the lowest common multiple of 906,195,402,942,703 is 435483128730.
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.
906 x 195 x 402 x 942 x 703 = 47032177902840
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
195 : 1, 3, 5, 13, 15, 39, 65, 195
402 : 1, 2, 3, 6, 67, 134, 201, 402
942 : 1, 2, 3, 6, 157, 314, 471, 942
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,195,402,942,703, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
195:3x 5x 13
402:2x 3x 67
942:2x 3x 157
703:19x 37
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 47032177902840/(1x108)
LCM = 47032177902840/108
LCM = 435483128730
Thus, we can understand that the LCM of 906,195,402,942,703 is 435483128730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 195, 402, 942, 703
1. What is the LCM of 906, 195, 402, 942, 703?
Answer: LCM of 906, 195, 402, 942, 703 is 435483128730.
2. How to calculate the LCM of 906, 195, 402, 942, 703?
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 906, 195, 402, 942, 703.
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}.