LCM of 674, 945, 640, 660, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 945, 640, 660, 368 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 674, 945, 640, 660, 368. So, keep reading to learn more.
Given numbers are 674,945,640,660,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,945,640,660,368 is 10313170560.
Find LCM of 674,945,640,660,368 with Prime Factorization
| 2 | 674, 945, 640, 660, 368 |
| 2 | 337, 945, 320, 330, 184 |
| 2 | 337, 945, 160, 165, 92 |
| 2 | 337, 945, 80, 165, 46 |
| 3 | 337, 945, 40, 165, 23 |
| 5 | 337, 315, 40, 55, 23 |
| 337, 63, 8, 11, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 337 x 63 x 8 x 11 x 23 = 10313170560
Therefore, the lowest common multiple of 674,945,640,660,368 is 10313170560.
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.
674 x 945 x 640 x 660 x 368 = 99006437376000
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.
674 : 1, 2, 337, 674
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,945,640,660,368, is 1.
Now, the common factors can be found like this.
674:2x 337
945:3x 3x 3x 5x 7
640:2x 2x 2x 2x 2x 2x 2x 5
660:2x 2x 3x 5x 11
368:2x 2x 2x 2x 23
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 2x 2x 3x 5x 5 = 9600
Therefore, the value for common factors is 9600.
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 = 99006437376000/(1x9600)
LCM = 99006437376000/9600
LCM = 10313170560
Thus, we can understand that the LCM of 674,945,640,660,368 is 10313170560.
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FAQs on LCM of 674, 945, 640, 660, 368
1. What is the LCM of 674, 945, 640, 660, 368?
Answer: LCM of 674, 945, 640, 660, 368 is 10313170560.
2. How to calculate the LCM of 674, 945, 640, 660, 368?
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 674, 945, 640, 660, 368.
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}.