LCM of 637, 490, 285, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 490, 285, 676 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 637, 490, 285, 676. So, keep reading to learn more.
Given numbers are 637,490,285,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,490,285,676 is 9440340.
Find LCM of 637,490,285,676 with Prime Factorization
| 2 | 637, 490, 285, 676 |
| 5 | 637, 245, 285, 338 |
| 7 | 637, 49, 57, 338 |
| 7 | 91, 7, 57, 338 |
| 13 | 13, 1, 57, 338 |
| 1, 1, 57, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 13 x 1 x 1 x 57 x 26 = 9440340
Therefore, the lowest common multiple of 637,490,285,676 is 9440340.
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.
637 x 490 x 285 x 676 = 60134965800
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.
637 : 1, 7, 13, 49, 91, 637
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
285 : 1, 3, 5, 15, 19, 57, 95, 285
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,490,285,676, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
490:2x 5x 7x 7
285:3x 5x 19
676:2x 2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7x 13 = 6370
Therefore, the value for common factors is 6370.
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 = 60134965800/(1x6370)
LCM = 60134965800/6370
LCM = 9440340
Thus, we can understand that the LCM of 637,490,285,676 is 9440340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 637, 490, 285, 676
1. What is the LCM of 637, 490, 285, 676?
Answer: LCM of 637, 490, 285, 676 is 9440340.
2. How to calculate the LCM of 637, 490, 285, 676?
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 637, 490, 285, 676.
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}.