LCM of 742, 759, 788, 362, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 759, 788, 362, 905 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 742, 759, 788, 362, 905. So, keep reading to learn more.
Given numbers are 742,759,788,362,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,759,788,362,905 is 200812379460.
Find LCM of 742,759,788,362,905 with Prime Factorization
| 2 | 742, 759, 788, 362, 905 |
| 181 | 371, 759, 394, 181, 905 |
| 371, 759, 394, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 371 x 759 x 394 x 1 x 5 = 200812379460
Therefore, the lowest common multiple of 742,759,788,362,905 is 200812379460.
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.
742 x 759 x 788 x 362 x 905 = 145388162729040
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
759 : 1, 3, 11, 23, 33, 69, 253, 759
788 : 1, 2, 4, 197, 394, 788
362 : 1, 2, 181, 362
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,759,788,362,905, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
759:3x 11x 23
788:2x 2x 197
362:2x 181
905:5x 181
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 181 = 724
Therefore, the value for common factors is 724.
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 = 145388162729040/(1x724)
LCM = 145388162729040/724
LCM = 200812379460
Thus, we can understand that the LCM of 742,759,788,362,905 is 200812379460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 742, 759, 788, 362, 905
1. What is the LCM of 742, 759, 788, 362, 905?
Answer: LCM of 742, 759, 788, 362, 905 is 200812379460.
2. How to calculate the LCM of 742, 759, 788, 362, 905?
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 742, 759, 788, 362, 905.
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}.