LCM of 904, 943, 340, 749, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 904, 943, 340, 749, 588 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 904, 943, 340, 749, 588. So, keep reading to learn more.
Given numbers are 904,943,340,749,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,943,340,749,588 is 1139725227480.
Find LCM of 904,943,340,749,588 with Prime Factorization
| 2 | 904, 943, 340, 749, 588 |
| 2 | 452, 943, 170, 749, 294 |
| 7 | 226, 943, 85, 749, 147 |
| 226, 943, 85, 107, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 226 x 943 x 85 x 107 x 21 = 1139725227480
Therefore, the lowest common multiple of 904,943,340,749,588 is 1139725227480.
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.
904 x 943 x 340 x 749 x 588 = 127649225477760
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
943 : 1, 23, 41, 943
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
749 : 1, 7, 107, 749
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,943,340,749,588, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
943:23x 41
340:2x 2x 5x 17
749:7x 107
588:2x 2x 3x 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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 127649225477760/(1x112)
LCM = 127649225477760/112
LCM = 1139725227480
Thus, we can understand that the LCM of 904,943,340,749,588 is 1139725227480.
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FAQs on LCM of 904, 943, 340, 749, 588
1. What is the LCM of 904, 943, 340, 749, 588?
Answer: LCM of 904, 943, 340, 749, 588 is 1139725227480.
2. How to calculate the LCM of 904, 943, 340, 749, 588?
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 904, 943, 340, 749, 588.
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}.