LCM of 737, 268, 490, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 268, 490, 352 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 737, 268, 490, 352. So, keep reading to learn more.
Given numbers are 737,268,490,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,268,490,352 is 5778080.
Find LCM of 737,268,490,352 with Prime Factorization
| 2 | 737, 268, 490, 352 |
| 2 | 737, 134, 245, 176 |
| 11 | 737, 67, 245, 88 |
| 67 | 67, 67, 245, 8 |
| 1, 1, 245, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 67 x 1 x 1 x 245 x 8 = 5778080
Therefore, the lowest common multiple of 737,268,490,352 is 5778080.
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.
737 x 268 x 490 x 352 = 34067559680
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.
737 : 1, 11, 67, 737
268 : 1, 2, 4, 67, 134, 268
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,268,490,352, is 1.
Now, the common factors can be found like this.
737:11x 67
268:2x 2x 67
490:2x 5x 7x 7
352:2x 2x 2x 2x 2x 11
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 11x 67 = 5896
Therefore, the value for common factors is 5896.
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 = 34067559680/(1x5896)
LCM = 34067559680/5896
LCM = 5778080
Thus, we can understand that the LCM of 737,268,490,352 is 5778080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 268, 490, 352
1. What is the LCM of 737, 268, 490, 352?
Answer: LCM of 737, 268, 490, 352 is 5778080.
2. How to calculate the LCM of 737, 268, 490, 352?
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 737, 268, 490, 352.
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}.