LCM of 674, 537, 465, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 537, 465, 140 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, 537, 465, 140. So, keep reading to learn more.
Given numbers are 674,537,465,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,537,465,140 is 785405460.
Find LCM of 674,537,465,140 with Prime Factorization
| 2 | 674, 537, 465, 140 |
| 3 | 337, 537, 465, 70 |
| 5 | 337, 179, 155, 70 |
| 337, 179, 31, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 337 x 179 x 31 x 14 = 785405460
Therefore, the lowest common multiple of 674,537,465,140 is 785405460.
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 537 x 465 x 140 = 23562163800
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
537 : 1, 3, 179, 537
465 : 1, 3, 5, 15, 31, 93, 155, 465
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,537,465,140, is 1.
Now, the common factors can be found like this.
674:2x 337
537:3x 179
465:3x 5x 31
140:2x 2x 5x 7
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 = 23562163800/(1x30)
LCM = 23562163800/30
LCM = 785405460
Thus, we can understand that the LCM of 674,537,465,140 is 785405460.
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FAQs on LCM of 674, 537, 465, 140
1. What is the LCM of 674, 537, 465, 140?
Answer: LCM of 674, 537, 465, 140 is 785405460.
2. How to calculate the LCM of 674, 537, 465, 140?
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, 537, 465, 140.
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}.