LCM of 756, 224, 737, 338, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 224, 737, 338, 280 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 756, 224, 737, 338, 280. So, keep reading to learn more.
Given numbers are 756,224,737,338,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,224,737,338,280 is 3766482720.
Find LCM of 756,224,737,338,280 with Prime Factorization
| 2 | 756, 224, 737, 338, 280 |
| 2 | 378, 112, 737, 169, 140 |
| 2 | 189, 56, 737, 169, 70 |
| 7 | 189, 28, 737, 169, 35 |
| 27, 4, 737, 169, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 27 x 4 x 737 x 169 x 5 = 3766482720
Therefore, the lowest common multiple of 756,224,737,338,280 is 3766482720.
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.
756 x 224 x 737 x 338 x 280 = 11811689809920
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
737 : 1, 11, 67, 737
338 : 1, 2, 13, 26, 169, 338
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,224,737,338,280, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
224:2x 2x 2x 2x 2x 7
737:11x 67
338:2x 13x 13
280:2x 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 2x 2x 2x 2x 2x 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 11811689809920/(1x3136)
LCM = 11811689809920/3136
LCM = 3766482720
Thus, we can understand that the LCM of 756,224,737,338,280 is 3766482720.
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FAQs on LCM of 756, 224, 737, 338, 280
1. What is the LCM of 756, 224, 737, 338, 280?
Answer: LCM of 756, 224, 737, 338, 280 is 3766482720.
2. How to calculate the LCM of 756, 224, 737, 338, 280?
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 756, 224, 737, 338, 280.
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}.