LCM of 749, 990, 532, 931, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 990, 532, 931, 492 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 749, 990, 532, 931, 492. So, keep reading to learn more.
Given numbers are 749,990,532,931,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,990,532,931,492 is 8086908060.
Find LCM of 749,990,532,931,492 with Prime Factorization
| 2 | 749, 990, 532, 931, 492 |
| 2 | 749, 495, 266, 931, 246 |
| 3 | 749, 495, 133, 931, 123 |
| 7 | 749, 165, 133, 931, 41 |
| 19 | 107, 165, 19, 133, 41 |
| 107, 165, 1, 7, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 107 x 165 x 1 x 7 x 41 = 8086908060
Therefore, the lowest common multiple of 749,990,532,931,492 is 8086908060.
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.
749 x 990 x 532 x 931 x 492 = 180693873692640
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.
749 : 1, 7, 107, 749
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
931 : 1, 7, 19, 49, 133, 931
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,990,532,931,492, is 1.
Now, the common factors can be found like this.
749:7x 107
990:2x 3x 3x 5x 11
532:2x 2x 7x 19
931:7x 7x 19
492:2x 2x 3x 41
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 3x 7x 7x 19 = 22344
Therefore, the value for common factors is 22344.
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 = 180693873692640/(1x22344)
LCM = 180693873692640/22344
LCM = 8086908060
Thus, we can understand that the LCM of 749,990,532,931,492 is 8086908060.
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FAQs on LCM of 749, 990, 532, 931, 492
1. What is the LCM of 749, 990, 532, 931, 492?
Answer: LCM of 749, 990, 532, 931, 492 is 8086908060.
2. How to calculate the LCM of 749, 990, 532, 931, 492?
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 749, 990, 532, 931, 492.
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}.