LCM of 751, 688, 910, 975, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 751, 688, 910, 975, 416 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 751, 688, 910, 975, 416. So, keep reading to learn more.
Given numbers are 751,688,910,975,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,688,910,975,416 is 7052791200.
Find LCM of 751,688,910,975,416 with Prime Factorization
| 2 | 751, 688, 910, 975, 416 |
| 2 | 751, 344, 455, 975, 208 |
| 2 | 751, 172, 455, 975, 104 |
| 2 | 751, 86, 455, 975, 52 |
| 5 | 751, 43, 455, 975, 26 |
| 13 | 751, 43, 91, 195, 26 |
| 751, 43, 7, 15, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 13 x 751 x 43 x 7 x 15 x 2 = 7052791200
Therefore, the lowest common multiple of 751,688,910,975,416 is 7052791200.
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.
751 x 688 x 910 x 975 x 416 = 190707474048000
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.
751 : 1, 751
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,688,910,975,416, is 1.
Now, the common factors can be found like this.
751:751
688:2x 2x 2x 2x 43
910:2x 5x 7x 13
975:3x 5x 5x 13
416:2x 2x 2x 2x 2x 13
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 2x 5x 13x 13 = 27040
Therefore, the value for common factors is 27040.
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 = 190707474048000/(1x27040)
LCM = 190707474048000/27040
LCM = 7052791200
Thus, we can understand that the LCM of 751,688,910,975,416 is 7052791200.
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FAQs on LCM of 751, 688, 910, 975, 416
1. What is the LCM of 751, 688, 910, 975, 416?
Answer: LCM of 751, 688, 910, 975, 416 is 7052791200.
2. How to calculate the LCM of 751, 688, 910, 975, 416?
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 751, 688, 910, 975, 416.
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}.