LCM of 750, 904, 217, 490, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 904, 217, 490, 763 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 750, 904, 217, 490, 763. So, keep reading to learn more.
Given numbers are 750,904,217,490,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,904,217,490,763 is 56128569000.
Find LCM of 750,904,217,490,763 with Prime Factorization
| 2 | 750, 904, 217, 490, 763 |
| 5 | 375, 452, 217, 245, 763 |
| 7 | 75, 452, 217, 49, 763 |
| 75, 452, 31, 7, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 75 x 452 x 31 x 7 x 109 = 56128569000
Therefore, the lowest common multiple of 750,904,217,490,763 is 56128569000.
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.
750 x 904 x 217 x 490 x 763 = 55005997620000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
904 : 1, 2, 4, 8, 113, 226, 452, 904
217 : 1, 7, 31, 217
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,904,217,490,763, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
904:2x 2x 2x 113
217:7x 31
490:2x 5x 7x 7
763:7x 109
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 5x 7x 7 = 980
Therefore, the value for common factors is 980.
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 = 55005997620000/(1x980)
LCM = 55005997620000/980
LCM = 56128569000
Thus, we can understand that the LCM of 750,904,217,490,763 is 56128569000.
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FAQs on LCM of 750, 904, 217, 490, 763
1. What is the LCM of 750, 904, 217, 490, 763?
Answer: LCM of 750, 904, 217, 490, 763 is 56128569000.
2. How to calculate the LCM of 750, 904, 217, 490, 763?
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 750, 904, 217, 490, 763.
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}.