LCM of 742, 308, 853, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 308, 853, 934 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, 308, 853, 934. So, keep reading to learn more.
Given numbers are 742,308,853,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,308,853,934 is 6502681724.
Find LCM of 742,308,853,934 with Prime Factorization
| 2 | 742, 308, 853, 934 |
| 7 | 371, 154, 853, 467 |
| 53, 22, 853, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 22 x 853 x 467 = 6502681724
Therefore, the lowest common multiple of 742,308,853,934 is 6502681724.
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 308 x 853 x 934 = 182075088272
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
853 : 1, 853
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,308,853,934, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
308:2x 2x 7x 11
853:853
934:2x 467
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 7 = 28
Therefore, the value for common factors is 28.
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 = 182075088272/(1x28)
LCM = 182075088272/28
LCM = 6502681724
Thus, we can understand that the LCM of 742,308,853,934 is 6502681724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 742, 308, 853, 934
1. What is the LCM of 742, 308, 853, 934?
Answer: LCM of 742, 308, 853, 934 is 6502681724.
2. How to calculate the LCM of 742, 308, 853, 934?
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, 308, 853, 934.
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}.