LCM of 888, 506, 287, 738, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 888, 506, 287, 738, 420 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 888, 506, 287, 738, 420. So, keep reading to learn more.
Given numbers are 888,506,287,738,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 888,506,287,738,420 is 967178520.
Find LCM of 888,506,287,738,420 with Prime Factorization
| 2 | 888, 506, 287, 738, 420 |
| 2 | 444, 253, 287, 369, 210 |
| 3 | 222, 253, 287, 369, 105 |
| 7 | 74, 253, 287, 123, 35 |
| 41 | 74, 253, 41, 123, 5 |
| 74, 253, 1, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 74 x 253 x 1 x 3 x 5 = 967178520
Therefore, the lowest common multiple of 888,506,287,738,420 is 967178520.
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.
888 x 506 x 287 x 738 x 420 = 39971553874560
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.
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
506 : 1, 2, 11, 22, 23, 46, 253, 506
287 : 1, 7, 41, 287
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 888,506,287,738,420, is 1.
Now, the common factors can be found like this.
888:2x 2x 2x 3x 37
506:2x 11x 23
287:7x 41
738:2x 3x 3x 41
420:2x 2x 3x 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 3x 3x 7x 41 = 41328
Therefore, the value for common factors is 41328.
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 = 39971553874560/(1x41328)
LCM = 39971553874560/41328
LCM = 967178520
Thus, we can understand that the LCM of 888,506,287,738,420 is 967178520.
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FAQs on LCM of 888, 506, 287, 738, 420
1. What is the LCM of 888, 506, 287, 738, 420?
Answer: LCM of 888, 506, 287, 738, 420 is 967178520.
2. How to calculate the LCM of 888, 506, 287, 738, 420?
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 888, 506, 287, 738, 420.
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}.