LCM of 475, 572, 676, 957, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 475, 572, 676, 957, 788 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 475, 572, 676, 957, 788. So, keep reading to learn more.
Given numbers are 475,572,676,957,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,572,676,957,788 is 60536661900.
Find LCM of 475,572,676,957,788 with Prime Factorization
| 2 | 475, 572, 676, 957, 788 |
| 2 | 475, 286, 338, 957, 394 |
| 11 | 475, 143, 169, 957, 197 |
| 13 | 475, 13, 169, 87, 197 |
| 475, 1, 13, 87, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 475 x 1 x 13 x 87 x 197 = 60536661900
Therefore, the lowest common multiple of 475,572,676,957,788 is 60536661900.
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.
475 x 572 x 676 x 957 x 788 = 138507882427200
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.
475 : 1, 5, 19, 25, 95, 475
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
957 : 1, 3, 11, 29, 33, 87, 319, 957
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,572,676,957,788, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
572:2x 2x 11x 13
676:2x 2x 13x 13
957:3x 11x 29
788:2x 2x 197
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 11x 13 = 2288
Therefore, the value for common factors is 2288.
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 = 138507882427200/(1x2288)
LCM = 138507882427200/2288
LCM = 60536661900
Thus, we can understand that the LCM of 475,572,676,957,788 is 60536661900.
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FAQs on LCM of 475, 572, 676, 957, 788
1. What is the LCM of 475, 572, 676, 957, 788?
Answer: LCM of 475, 572, 676, 957, 788 is 60536661900.
2. How to calculate the LCM of 475, 572, 676, 957, 788?
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 475, 572, 676, 957, 788.
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}.