LCM of 674, 300, 865, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 300, 865, 423 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, 300, 865, 423. So, keep reading to learn more.
Given numbers are 674,300,865,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,300,865,423 is 2466132300.
Find LCM of 674,300,865,423 with Prime Factorization
| 2 | 674, 300, 865, 423 |
| 3 | 337, 150, 865, 423 |
| 5 | 337, 50, 865, 141 |
| 337, 10, 173, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 337 x 10 x 173 x 141 = 2466132300
Therefore, the lowest common multiple of 674,300,865,423 is 2466132300.
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 300 x 865 x 423 = 73983969000
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
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
865 : 1, 5, 173, 865
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,300,865,423, is 1.
Now, the common factors can be found like this.
674:2x 337
300:2x 2x 3x 5x 5
865:5x 173
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 73983969000/(1x30)
LCM = 73983969000/30
LCM = 2466132300
Thus, we can understand that the LCM of 674,300,865,423 is 2466132300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 674, 300, 865, 423
1. What is the LCM of 674, 300, 865, 423?
Answer: LCM of 674, 300, 865, 423 is 2466132300.
2. How to calculate the LCM of 674, 300, 865, 423?
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, 300, 865, 423.
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}.