LCM of 477, 628, 689, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 628, 689, 362 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 477, 628, 689, 362. So, keep reading to learn more.
Given numbers are 477,628,689,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,628,689,362 is 704855268.
Find LCM of 477,628,689,362 with Prime Factorization
| 2 | 477, 628, 689, 362 |
| 53 | 477, 314, 689, 181 |
| 9, 314, 13, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 9 x 314 x 13 x 181 = 704855268
Therefore, the lowest common multiple of 477,628,689,362 is 704855268.
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.
477 x 628 x 689 x 362 = 74714658408
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.
477 : 1, 3, 9, 53, 159, 477
628 : 1, 2, 4, 157, 314, 628
689 : 1, 13, 53, 689
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,628,689,362, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
628:2x 2x 157
689:13x 53
362:2x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 53 = 106
Therefore, the value for common factors is 106.
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 = 74714658408/(1x106)
LCM = 74714658408/106
LCM = 704855268
Thus, we can understand that the LCM of 477,628,689,362 is 704855268.
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FAQs on LCM of 477, 628, 689, 362
1. What is the LCM of 477, 628, 689, 362?
Answer: LCM of 477, 628, 689, 362 is 704855268.
2. How to calculate the LCM of 477, 628, 689, 362?
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 477, 628, 689, 362.
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}.