LCM of 942, 771, 740, 339, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 771, 740, 339, 565 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 942, 771, 740, 339, 565. So, keep reading to learn more.
Given numbers are 942,771,740,339,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,771,740,339,565 is 10121950140.
Find LCM of 942,771,740,339,565 with Prime Factorization
| 2 | 942, 771, 740, 339, 565 |
| 3 | 471, 771, 370, 339, 565 |
| 5 | 157, 257, 370, 113, 565 |
| 113 | 157, 257, 74, 113, 113 |
| 157, 257, 74, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 113 x 157 x 257 x 74 x 1 x 1 = 10121950140
Therefore, the lowest common multiple of 942,771,740,339,565 is 10121950140.
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.
942 x 771 x 740 x 339 x 565 = 102940232923800
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
771 : 1, 3, 257, 771
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
339 : 1, 3, 113, 339
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,771,740,339,565, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
771:3x 257
740:2x 2x 5x 37
339:3x 113
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 113 = 10170
Therefore, the value for common factors is 10170.
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 = 102940232923800/(1x10170)
LCM = 102940232923800/10170
LCM = 10121950140
Thus, we can understand that the LCM of 942,771,740,339,565 is 10121950140.
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FAQs on LCM of 942, 771, 740, 339, 565
1. What is the LCM of 942, 771, 740, 339, 565?
Answer: LCM of 942, 771, 740, 339, 565 is 10121950140.
2. How to calculate the LCM of 942, 771, 740, 339, 565?
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 942, 771, 740, 339, 565.
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}.