LCM of 917, 756, 749, 666, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 756, 749, 666, 496 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 917, 756, 749, 666, 496. So, keep reading to learn more.
Given numbers are 917,756,749,666,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,756,749,666,496 is 48618356976.
Find LCM of 917,756,749,666,496 with Prime Factorization
| 2 | 917, 756, 749, 666, 496 |
| 2 | 917, 378, 749, 333, 248 |
| 3 | 917, 189, 749, 333, 124 |
| 3 | 917, 63, 749, 111, 124 |
| 7 | 917, 21, 749, 37, 124 |
| 131, 3, 107, 37, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 131 x 3 x 107 x 37 x 124 = 48618356976
Therefore, the lowest common multiple of 917,756,749,666,496 is 48618356976.
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.
917 x 756 x 749 x 666 x 496 = 171525563411328
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.
917 : 1, 7, 131, 917
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
749 : 1, 7, 107, 749
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,756,749,666,496, is 1.
Now, the common factors can be found like this.
917:7x 131
756:2x 2x 3x 3x 3x 7
749:7x 107
666:2x 3x 3x 37
496:2x 2x 2x 2x 31
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 3x 7x 7 = 3528
Therefore, the value for common factors is 3528.
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 = 171525563411328/(1x3528)
LCM = 171525563411328/3528
LCM = 48618356976
Thus, we can understand that the LCM of 917,756,749,666,496 is 48618356976.
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FAQs on LCM of 917, 756, 749, 666, 496
1. What is the LCM of 917, 756, 749, 666, 496?
Answer: LCM of 917, 756, 749, 666, 496 is 48618356976.
2. How to calculate the LCM of 917, 756, 749, 666, 496?
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 917, 756, 749, 666, 496.
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}.