LCM of 746, 220, 100, 478, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 220, 100, 478, 284 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 746, 220, 100, 478, 284. So, keep reading to learn more.
Given numbers are 746,220,100,478,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,220,100,478,284 is 6962380700.
Find LCM of 746,220,100,478,284 with Prime Factorization
| 2 | 746, 220, 100, 478, 284 |
| 2 | 373, 110, 50, 239, 142 |
| 5 | 373, 55, 25, 239, 71 |
| 373, 11, 5, 239, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 373 x 11 x 5 x 239 x 71 = 6962380700
Therefore, the lowest common multiple of 746,220,100,478,284 is 6962380700.
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.
746 x 220 x 100 x 478 x 284 = 2227961824000
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.
746 : 1, 2, 373, 746
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
478 : 1, 2, 239, 478
284 : 1, 2, 4, 71, 142, 284
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,220,100,478,284, is 2.
Now, the common factors can be found like this.
746:2x 373
220:2x 2x 5x 11
100:2x 2x 5x 5
478:2x 239
284:2x 2x 71
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 5 = 160
Therefore, the value for common factors is 160.
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 = 2227961824000/(2x160)
LCM = 2227961824000/320
LCM = 6962380700
Thus, we can understand that the LCM of 746,220,100,478,284 is 6962380700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 220, 100, 478, 284
1. What is the LCM of 746, 220, 100, 478, 284?
Answer: LCM of 746, 220, 100, 478, 284 is 6962380700.
2. How to calculate the LCM of 746, 220, 100, 478, 284?
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 746, 220, 100, 478, 284.
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}.