LCM of 665, 760, 456, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 760, 456, 748 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 665, 760, 456, 748. So, keep reading to learn more.
Given numbers are 665,760,456,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,760,456,748 is 2984520.
Find LCM of 665,760,456,748 with Prime Factorization
| 2 | 665, 760, 456, 748 |
| 2 | 665, 380, 228, 374 |
| 2 | 665, 190, 114, 187 |
| 5 | 665, 95, 57, 187 |
| 19 | 133, 19, 57, 187 |
| 7, 1, 3, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 7 x 1 x 3 x 187 = 2984520
Therefore, the lowest common multiple of 665,760,456,748 is 2984520.
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.
665 x 760 x 456 x 748 = 172385875200
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,760,456,748, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
760:2x 2x 2x 5x 19
456:2x 2x 2x 3x 19
748:2x 2x 11x 17
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 19x 19 = 57760
Therefore, the value for common factors is 57760.
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 = 172385875200/(1x57760)
LCM = 172385875200/57760
LCM = 2984520
Thus, we can understand that the LCM of 665,760,456,748 is 2984520.
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FAQs on LCM of 665, 760, 456, 748
1. What is the LCM of 665, 760, 456, 748?
Answer: LCM of 665, 760, 456, 748 is 2984520.
2. How to calculate the LCM of 665, 760, 456, 748?
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 665, 760, 456, 748.
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}.